102020220120100 has 18 divisors (see below), whose sum is σ = 221383877660834. Its totient is φ = 40808088048000.

The previous prime is 102020220120083. The next prime is 102020220120109. The reversal of 102020220120100 is 1021022020201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2697031045696 + 99323189074404 = 1642264^2 + 9966102^2 .

It is not an unprimeable number, because it can be changed into a prime (102020220120109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510101100501 + ... + 510101100700.

Almost surely, 2^{102020220120100} is an apocalyptic number.

102020220120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020220120100 is an abundant number, since it is smaller than the sum of its proper divisors (119363657540734).

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

102020220120100 is a wasteful number, since it uses less digits than its factorization.

102020220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020202201215 (or 1020202201208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102020220120100 its reverse (1021022020201), we get a palindrome (103041242140301).

The spelling of 102020220120100 in words is "one hundred two trillion, twenty billion, two hundred twenty million, one hundred twenty thousand, one hundred".