10101100101100 has 36 divisors (see below), whose sum is σ = 22077080683000. Its totient is φ = 4011372120960.

The previous prime is 10101100101067. The next prime is 10101100101101. The reversal of 10101100101100 is 110100110101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10101100101101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363335025 + ... + 363362824.

Almost surely, 2^{10101100101100} is an apocalyptic number.

10101100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100101100 is an abundant number, since it is smaller than the sum of its proper divisors (11975980581900).

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

10101100101100 is a wasteful number, since it uses less digits than its factorization.

10101100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726698002 (or 726697995 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101100101100 its reverse (110100110101), we get a palindrome (10211200211201).

Subtracting from 10101100101100 its reverse (110100110101), we obtain a palindrome (9990999990999).

The spelling of 10101100101100 in words is "ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred".