102210112000 has 80 divisors (see below), whose sum is σ = 254867461992. Its totient is φ = 40884019200.

The previous prime is 102210111979. The next prime is 102210112003. The reversal of 102210112000 is 211012201.

It can be written as a sum of positive squares in 4 ways, for example, as 50945906944 + 51264205056 = 225712^2 + 226416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×102210112000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102210112003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734517 + ... + 862516.

Almost surely, 2^102210112000 is an apocalyptic number.

102210112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210112000 is an abundant number, since it is smaller than the sum of its proper divisors (152657349992).

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

102210112000 is an frugal number, since it uses more digits than its factorization.

102210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597066 (or 1597040 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102210112000 its reverse (211012201), we get a palindrome (102421124201).

The spelling of 102210112000 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand".