102101012122200 has 768 divisors, whose sum is σ = 402260120371200. Its totient is φ = 20840065689600.

The previous prime is 102101012122171. The next prime is 102101012122229. The reversal of 102101012122200 is 2221210101201.

It is an interprime number because it is at equal distance from previous prime (102101012122171) and next prime (102101012122229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102101012122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5861465091 + ... + 5861482509.

It is an arithmetic number, because the mean of its divisors is an integer number (523776198400).

Almost surely, 2^{102101012122200} is an apocalyptic number.

102101012122200 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 102101012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201130060185600).

102101012122200 is an abundant number, since it is smaller than the sum of its proper divisors (300159108249000).

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

102101012122200 is a wasteful number, since it uses less digits than its factorization.

102101012122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20952 (or 20943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102101012122200 its reverse (2221210101201), we get a palindrome (104322222223401).

The spelling of 102101012122200 in words is "one hundred two trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, two hundred".