102210021210100 has 72 divisors (see below), whose sum is σ = 222967280180736. Its totient is φ = 40668077280000.

The previous prime is 102210021210053. The next prime is 102210021210103. The reversal of 102210021210100 is 1012120012201.

It is a super-3 number, since 3×102210021210100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210021210103) 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, 457734480 + ... + 457957720.

It is an arithmetic number, because the mean of its divisors is an integer number (3096767780288).

Almost surely, 2^{102210021210100} is an apocalyptic number.

102210021210100 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 102210021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111483640090368).

102210021210100 is an abundant number, since it is smaller than the sum of its proper divisors (120757258970636).

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

102210021210100 is a wasteful number, since it uses less digits than its factorization.

102210021210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247417 (or 247410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102210021210100 its reverse (1012120012201), we get a palindrome (103222141222301).

The spelling of 102210021210100 in words is "one hundred two trillion, two hundred ten billion, twenty-one million, two hundred ten thousand, one hundred".