102212002122000 has 160 divisors (see below), whose sum is σ = 329599240798464. Its totient is φ = 27250930432000.

The previous prime is 102212002121947. The next prime is 102212002122001. The reversal of 102212002122000 is 221200212201.

It is a super-3 number, since 3×102212002122000³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102212002122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27477352 + ... + 30974648.

Almost surely, 2^{102212002122000} is an apocalyptic number.

102212002122000 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 102212002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799620399232).

102212002122000 is an abundant number, since it is smaller than the sum of its proper divisors (227387238676464).

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

102212002122000 is a wasteful number, since it uses less digits than its factorization.

102212002122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502194 (or 3502178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212002122000 its reverse (221200212201), we get a palindrome (102433202334201).

The spelling of 102212002122000 in words is "one hundred two trillion, two hundred twelve billion, two million, one hundred twenty-two thousand".