101011111100100 has 108 divisors (see below), whose sum is σ = 321804104976900. Its totient is φ = 26494717651200.

The previous prime is 101011111100083. The next prime is 101011111100101. The reversal of 101011111100100 is 1001111110101.

It can be written as a sum of positive squares in 6 ways, for example, as 782460546624 + 100228650553476 = 884568^2 + 10011426^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101011111100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 919900575 + ... + 920010374.

It is an arithmetic number, because the mean of its divisors is an integer number (2979667638675).

Almost surely, 2^{101011111100100} is an apocalyptic number.

101011111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011111100100 is an abundant number, since it is smaller than the sum of its proper divisors (220792993876800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011111100100 is a wasteful number, since it uses less digits than its factorization.

101011111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839911030 (or 1839911020 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011111100100 its reverse (1001111110101), we get a palindrome (102012222210201).

The spelling of 101011111100100 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred".