101102021000010 has 24 divisors (see below), whose sum is σ = 262865254600260. Its totient is φ = 26960538933312.

The previous prime is 101102020999949. The next prime is 101102021000039. The reversal of 101102021000010 is 10000120201101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93015203624721 + 8086817375289 = 9644439^2 + 2843733^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101102020999956 and 101102021000001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561677894355 + ... + 561677894534.

Almost surely, 2^{101102021000010} is an apocalyptic number.

101102021000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102021000010 is an abundant number, since it is smaller than the sum of its proper divisors (161763233600250).

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

101102021000010 is a wasteful number, since it uses less digits than its factorization.

101102021000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123355788902 (or 1123355788899 counting only the distinct ones).

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

Adding to 101102021000010 its reverse (10000120201101), we get a palindrome (111102141201111).

The spelling of 101102021000010 in words is "one hundred one trillion, one hundred two billion, twenty-one million, ten", and thus it is an aban number.