10011010120100 has 72 divisors (see below), whose sum is σ = 23699579254848. Its totient is φ = 3640246268800.

The previous prime is 10011010120079. The next prime is 10011010120121. The reversal of 10011010120100 is 102101011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10011010120079) and next prime (10011010120121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37114922 + ... + 37383678.

It is an arithmetic number, because the mean of its divisors is an integer number (329160822984).

Almost surely, 2^{10011010120100} is an apocalyptic number.

10011010120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011010120100 is an abundant number, since it is smaller than the sum of its proper divisors (13688569134748).

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

10011010120100 is a wasteful number, since it uses less digits than its factorization.

10011010120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302645 (or 302638 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011010120100 its reverse (102101011001), we get a palindrome (10113111131101).

The spelling of 10011010120100 in words is "ten trillion, eleven billion, ten million, one hundred twenty thousand, one hundred".