102020213100 has 216 divisors, whose sum is σ = 336457007040. Its totient is φ = 23790723840.

The previous prime is 102020213083. The next prime is 102020213111. The reversal of 102020213100 is 1312020201.

It is a super-2 number, since 2×102020213100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910347 + ... + 1016253.

Almost surely, 2^102020213100 is an apocalyptic number.

102020213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168228503520).

102020213100 is an abundant number, since it is smaller than the sum of its proper divisors (234436793940).

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

102020213100 is a wasteful number, since it uses less digits than its factorization.

102020213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105969 (or 105949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102020213100 its reverse (1312020201), we get a palindrome (103332233301).

The spelling of 102020213100 in words is "one hundred two billion, twenty million, two hundred thirteen thousand, one hundred".