10120110010010 has 384 divisors, whose sum is σ = 25746401318400. Its totient is φ = 2783354112000.

The previous prime is 10120110009979. The next prime is 10120110010027. The reversal of 10120110010010 is 1001001102101.

It is a happy number.

It is a super-2 number, since 2×10120110010010² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120110010010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 322496501 + ... + 322527879.

It is an arithmetic number, because the mean of its divisors is an integer number (67047920100).

Almost surely, 2^{10120110010010} is an apocalyptic number.

10120110010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120110010010 is an abundant number, since it is smaller than the sum of its proper divisors (15626291308390).

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

10120110010010 is a wasteful number, since it uses less digits than its factorization.

10120110010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31558 (or 31547 counting only the distinct ones).

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

Adding to 10120110010010 its reverse (1001001102101), we get a palindrome (11121111112111).

The spelling of 10120110010010 in words is "ten trillion, one hundred twenty billion, one hundred ten million, ten thousand, ten".