102210102000 has 120 divisors (see below), whose sum is σ = 356985879120. Its totient is φ = 27256022400.

The previous prime is 102210101977. The next prime is 102210102041. The reversal of 102210102000 is 201012201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×102210102000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821170 + ... + 2857169.

It is an arithmetic number, because the mean of its divisors is an integer number (2974882326).

Almost surely, 2^102210102000 is an apocalyptic number.

102210102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210102000 is an abundant number, since it is smaller than the sum of its proper divisors (254775777120).

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

102210102000 is a wasteful number, since it uses less digits than its factorization.

102210102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678368 (or 5678349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210102000 its reverse (201012201), we get a palindrome (102411114201).

The spelling of 102210102000 in words is "one hundred two billion, two hundred ten million, one hundred two thousand".