102212013000 has 256 divisors, whose sum is σ = 326932070400. Its totient is φ = 26577734400.

The previous prime is 102212012999. The next prime is 102212013061. The reversal of 102212013000 is 310212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22476727 + ... + 22481273.

It is an arithmetic number, because the mean of its divisors is an integer number (1277078400).

Almost surely, 2^102212013000 is an apocalyptic number.

102212013000 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 102212013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163466035200).

102212013000 is an abundant number, since it is smaller than the sum of its proper divisors (224720057400).

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

102212013000 is a wasteful number, since it uses less digits than its factorization.

102212013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102212013000 its reverse (310212201), we get a palindrome (102522225201).

The spelling of 102212013000 in words is "one hundred two billion, two hundred twelve million, thirteen thousand".