102132213010002 has 160 divisors (see below), whose sum is σ = 264403474055424. Its totient is φ = 28862291952000.

The previous prime is 102132213009979. The next prime is 102132213010057. The reversal of 102132213010002 is 200010312231201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112133352 + ... + 113040492.

Almost surely, 2^{102132213010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132213010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132201737027712).

102132213010002 is an abundant number, since it is smaller than the sum of its proper divisors (162271261045422).

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

102132213010002 is a wasteful number, since it uses less digits than its factorization.

102132213010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908246 (or 908237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102132213010002 its reverse (200010312231201), we get a palindrome (302142525241203).

The spelling of 102132213010002 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred thirteen million, ten thousand, two".