100010010101100 has 216 divisors, whose sum is σ = 328319366882304. Its totient is φ = 23462758704000.

The previous prime is 100010010101087. The next prime is 100010010101107. The reversal of 100010010101100 is 1101010010001.

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 not an unprimeable number, because it can be changed into a prime (100010010101107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43311744 + ... + 45562343.

Almost surely, 2^{100010010101100} is an apocalyptic number.

100010010101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010010101100 is an abundant number, since it is smaller than the sum of its proper divisors (228309356781204).

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

100010010101100 is a wasteful number, since it uses less digits than its factorization.

100010010101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88874157 (or 88874139 counting only the distinct ones).

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

Adding to 100010010101100 its reverse (1101010010001), we get a palindrome (101111020111101).

The spelling of 100010010101100 in words is "one hundred trillion, ten billion, ten million, one hundred one thousand, one hundred".