102010100020 has 192 divisors, whose sum is σ = 235669948416. Its totient is φ = 36979937280.

The previous prime is 102010099999. The next prime is 102010100041. The reversal of 102010100020 is 20001010201.

It is an interprime number because it is at equal distance from previous prime (102010099999) and next prime (102010100041).

It is a junction number, because it is equal to n+sod(n) for n = 102010099976 and 102010100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139167574 + ... + 139168306.

It is an arithmetic number, because the mean of its divisors is an integer number (1227447648).

Almost surely, 2^102010100020 is an apocalyptic number.

102010100020 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 102010100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117834974208).

102010100020 is an abundant number, since it is smaller than the sum of its proper divisors (133659848396).

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

102010100020 is a wasteful number, since it uses less digits than its factorization.

102010100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102010100020 its reverse (20001010201), we get a palindrome (122011110221).

The spelling of 102010100020 in words is "one hundred two billion, ten million, one hundred thousand, twenty".