101020202020100 has 144 divisors (see below), whose sum is σ = 255995402745600. Its totient is φ = 34211366352000.

The previous prime is 101020202020079. The next prime is 101020202020103. The reversal of 101020202020100 is 1020202020101.

It is a happy number.

It is a super-2 number, since 2×101020202020100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (101020202020103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39728786 + ... + 42194985.

It is an arithmetic number, because the mean of its divisors is an integer number (1777745852400).

Almost surely, 2^{101020202020100} is an apocalyptic number.

101020202020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020202020100 is an abundant number, since it is smaller than the sum of its proper divisors (154975200725500).

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

101020202020100 is a wasteful number, since it uses less digits than its factorization.

101020202020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81923874 (or 81923867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101020202020100 its reverse (1020202020101), we get a palindrome (102040404040201).

Subtracting from 101020202020100 its reverse (1020202020101), we obtain a palindrome (99999999999999).

The spelling of 101020202020100 in words is "one hundred one trillion, twenty billion, two hundred two million, twenty thousand, one hundred".