101012120120010 has 128 divisors (see below), whose sum is σ = 268837880774400. Its totient is φ = 24083279308800.

The previous prime is 101012120119997. The next prime is 101012120120129. The reversal of 101012120120010 is 10021021210101.

It is a super-2 number, since 2×101012120120010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159697734 + ... + 160329006.

It is an arithmetic number, because the mean of its divisors is an integer number (2100295943550).

Almost surely, 2^{101012120120010} is an apocalyptic number.

101012120120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012120120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134418940387200).

101012120120010 is an abundant number, since it is smaller than the sum of its proper divisors (167825760654390).

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

101012120120010 is a wasteful number, since it uses less digits than its factorization.

101012120120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639304.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012120120010 its reverse (10021021210101), we get a palindrome (111033141330111).

The spelling of 101012120120010 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one hundred twenty thousand, ten".