100011102101010 has 40 divisors (see below), whose sum is σ = 268918741207116. Its totient is φ = 26669627226720.

The previous prime is 100011102100991. The next prime is 100011102101033. The reversal of 100011102101010 is 10101201110001.

It can be written as a sum of positive squares in 2 ways, for example, as 92756488454289 + 7254613646721 = 9631017^2 + 2693439^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100011102100983 and 100011102101001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61735247401 + ... + 61735249020.

Almost surely, 2^{100011102101010} is an apocalyptic number.

100011102101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011102101010 is an abundant number, since it is smaller than the sum of its proper divisors (168907639106106).

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

100011102101010 is a wasteful number, since it uses less digits than its factorization.

100011102101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123470496440 (or 123470496431 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011102101010 its reverse (10101201110001), we get a palindrome (110112303211011).

The spelling of 100011102101010 in words is "one hundred trillion, eleven billion, one hundred two million, one hundred one thousand, ten".