101121100111100 has 18 divisors (see below), whose sum is σ = 219432787241304. Its totient is φ = 40448440044400.

The previous prime is 101121100111049. The next prime is 101121100111153. The reversal of 101121100111100 is 1111001121101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505605500456 + ... + 505605500655.

Almost surely, 2^{101121100111100} is an apocalyptic number.

101121100111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121100111100 is an abundant number, since it is smaller than the sum of its proper divisors (118311687130204).

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

101121100111100 is a wasteful number, since it uses less digits than its factorization.

101121100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011211001125 (or 1011211001118 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101121100111100 its reverse (1111001121101), we get a palindrome (102232101232201).

The spelling of 101121100111100 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, one hundred eleven thousand, one hundred".