100011120011010 has 96 divisors (see below), whose sum is σ = 280279174397040. Its totient is φ = 24596316278784.

The previous prime is 100011120011003. The next prime is 100011120011021. The reversal of 100011120011010 is 10110021110001.

It can be written as a sum of positive squares in 8 ways, for example, as 18869632278561 + 81141487732449 = 4343919^2 + 9007857^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100011120010983 and 100011120011001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36535399 + ... + 39177258.

Almost surely, 2^{100011120011010} is an apocalyptic number.

100011120011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011120011010 is an abundant number, since it is smaller than the sum of its proper divisors (180268054386030).

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

100011120011010 is a wasteful number, since it uses less digits than its factorization.

100011120011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75713812 (or 75713809 counting only the distinct ones).

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

Adding to 100011120011010 its reverse (10110021110001), we get a palindrome (110121141121011).

It can be divided in two parts, 100011 and 120011010, that added together give a palindrome (120111021).

The spelling of 100011120011010 in words is "one hundred trillion, eleven billion, one hundred twenty million, eleven thousand, ten".