101020022002100 has 18 divisors (see below), whose sum is σ = 219213447744774. Its totient is φ = 40408008800800.

The previous prime is 101020022002049. The next prime is 101020022002139. The reversal of 101020022002100 is 1200220020101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1300904487184 + 99719117514916 = 1140572^2 + 9985946^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505100109911 + ... + 505100110110.

Almost surely, 2^{101020022002100} is an apocalyptic number.

101020022002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020022002100 is an abundant number, since it is smaller than the sum of its proper divisors (118193425742674).

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

101020022002100 is a wasteful number, since it uses less digits than its factorization.

101020022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010200220035 (or 1010200220028 counting only the distinct ones).

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

Adding to 101020022002100 its reverse (1200220020101), we get a palindrome (102220242022201).

The spelling of 101020022002100 in words is "one hundred one trillion, twenty billion, twenty-two million, two thousand, one hundred".