101020021010100 has 108 divisors (see below), whose sum is σ = 319134885282304. Its totient is φ = 26726556709440.

The previous prime is 101020021010099. The next prime is 101020021010101. The reversal of 101020021010100 is 1010120020101.

It is a happy number.

101020021010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101020021010099) and next prime (101020021010101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020021010101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441793054 + ... + 442021653.

Almost surely, 2^{101020021010100} is an apocalyptic number.

101020021010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020021010100 is an abundant number, since it is smaller than the sum of its proper divisors (218114864272204).

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

101020021010100 is a wasteful number, since it uses less digits than its factorization.

101020021010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883814854 (or 883814844 counting only the distinct ones).

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

Adding to 101020021010100 its reverse (1010120020101), we get a palindrome (102030141030201).

The spelling of 101020021010100 in words is "one hundred one trillion, twenty billion, twenty-one million, ten thousand, one hundred".