102201915900 has 144 divisors (see below), whose sum is σ = 338313346560. Its totient is φ = 23335161600.

The previous prime is 102201915877. The next prime is 102201915923. The reversal of 102201915900 is 9519102201.

It is an interprime number because it is at equal distance from previous prime (102201915877) and next prime (102201915923).

It is a super-2 number, since 2×102201915900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1950241 + ... + 2001959.

It is an arithmetic number, because the mean of its divisors is an integer number (2349398240).

Almost surely, 2^102201915900 is an apocalyptic number.

102201915900 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 102201915900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169156673280).

102201915900 is an abundant number, since it is smaller than the sum of its proper divisors (236111430660).

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

102201915900 is a wasteful number, since it uses less digits than its factorization.

102201915900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52684 (or 52677 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

It can be divided in two parts, 102201 and 915900, that added together give a palindrome (1018101).

The spelling of 102201915900 in words is "one hundred two billion, two hundred one million, nine hundred fifteen thousand, nine hundred".