101000011100100 has 216 divisors, whose sum is σ = 352476052463808. Its totient is φ = 21870678931200.

The previous prime is 101000011100099. The next prime is 101000011100167. The reversal of 101000011100100 is 1001110000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65855811 + ... + 67372010.

Almost surely, 2^{101000011100100} is an apocalyptic number.

101000011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000011100100 is an abundant number, since it is smaller than the sum of its proper divisors (251476041363708).

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

101000011100100 is a wasteful number, since it uses less digits than its factorization.

101000011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133227883 (or 133227857 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000011100100 its reverse (1001110000101), we get a palindrome (102001121100201).

The spelling of 101000011100100 in words is "one hundred one trillion, eleven million, one hundred thousand, one hundred".