101010201000120 has 160 divisors (see below), whose sum is σ = 339582121290720. Its totient is φ = 26930054603520.

The previous prime is 101010201000103. The next prime is 101010201000131. The reversal of 101010201000120 is 21000102010101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11087925 + ... + 18026715.

It is an arithmetic number, because the mean of its divisors is an integer number (2122388258067).

Almost surely, 2^{101010201000120} is an apocalyptic number.

101010201000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169791060645360).

101010201000120 is an abundant number, since it is smaller than the sum of its proper divisors (238571920290600).

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

101010201000120 is a wasteful number, since it uses less digits than its factorization.

101010201000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943307 (or 6943294 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010201000120 its reverse (21000102010101), we get a palindrome (122010303010221).

The spelling of 101010201000120 in words is "one hundred one trillion, ten billion, two hundred one million, one hundred twenty", and thus it is an aban number.