102001020100 has 72 divisors (see below), whose sum is σ = 253012000640. Its totient is φ = 34964939520.

The previous prime is 102001020083. The next prime is 102001020109. The reversal of 102001020100 is 1020100201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (102001020109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4664392 + ... + 4686208.

Almost surely, 2^102001020100 is an apocalyptic number.

102001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001020100 is an abundant number, since it is smaller than the sum of its proper divisors (151010980540).

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

102001020100 is a wasteful number, since it uses less digits than its factorization.

102001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28517 (or 28510 counting only the distinct ones).

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

Adding to 102001020100 its reverse (1020100201), we get a palindrome (103021120301).

The spelling of 102001020100 in words is "one hundred two billion, one million, twenty thousand, one hundred".