101020202122100 has 72 divisors (see below), whose sum is σ = 219619647739800. Its totient is φ = 40333285457920.

The previous prime is 101020202122079. The next prime is 101020202122127. The reversal of 101020202122100 is 1221202020101.

It can be written as a sum of positive squares in 12 ways, for example, as 87963802725604 + 13056399396496 = 9378902^2 + 3613364^2 .

It is a congruent number.

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, 1297603976 + ... + 1297681824.

It is an arithmetic number, because the mean of its divisors is an integer number (3050272885275).

Almost surely, 2^{101020202122100} is an apocalyptic number.

101020202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020202122100 is an abundant number, since it is smaller than the sum of its proper divisors (118599445617700).

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

101020202122100 is a wasteful number, since it uses less digits than its factorization.

101020202122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101717 (or 101710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020202122100 its reverse (1221202020101), we get a palindrome (102241404142201).

The spelling of 101020202122100 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred twenty-two thousand, one hundred".