101010122120100 has 72 divisors (see below), whose sum is σ = 292594605246720. Its totient is φ = 26904820407680.

The previous prime is 101010122120087. The next prime is 101010122120113. The reversal of 101010122120100 is 1021221010101.

It is an interprime number because it is at equal distance from previous prime (101010122120087) and next prime (101010122120113).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 194816655 + ... + 195334454.

It is an arithmetic number, because the mean of its divisors is an integer number (4063813961760).

Almost surely, 2^{101010122120100} is an apocalyptic number.

101010122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010122120100 is an abundant number, since it is smaller than the sum of its proper divisors (191584483126620).

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

101010122120100 is a wasteful number, since it uses less digits than its factorization.

101010122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390151989 (or 390151982 counting only the distinct ones).

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

Adding to 101010122120100 its reverse (1021221010101), we get a palindrome (102031343130201).

It can be divided in two parts, 1010101 and 22120100, that added together give a triangular number (23130201 = T₆₈₀₁).

The spelling of 101010122120100 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".