102101000022020 has 24 divisors (see below), whose sum is σ = 219641663463768. Its totient is φ = 39844292691200.

The previous prime is 102101000021989. The next prime is 102101000022041. The reversal of 102101000022020 is 20220000101201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1840710865984 + 100260289156036 = 1356728^2 + 10013006^2 .

It is a super-2 number, since 2×102101000022020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101000021992 and 102101000022010.

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 7 ways as a sum of consecutive naturals, for example, 62256706511 + ... + 62256708150.

It is an arithmetic number, because the mean of its divisors is an integer number (9151735977657).

Almost surely, 2^{102101000022020} is an apocalyptic number.

102101000022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101000022020 is an abundant number, since it is smaller than the sum of its proper divisors (117540663441748).

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

102101000022020 is a wasteful number, since it uses less digits than its factorization.

102101000022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124513414711 (or 124513414709 counting only the distinct ones).

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

Adding to 102101000022020 its reverse (20220000101201), we get a palindrome (122321000123221).

The spelling of 102101000022020 in words is "one hundred two trillion, one hundred one billion, twenty-two thousand, twenty".