102213300011000 has 128 divisors (see below), whose sum is σ = 251992945339200. Its totient is φ = 38698776691200.

The previous prime is 102213300010993. The next prime is 102213300011023. The reversal of 102213300011000 is 110003312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18814922 + ... + 23631078.

Almost surely, 2^{102213300011000} is an apocalyptic number.

102213300011000 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 102213300011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125996472669600).

102213300011000 is an abundant number, since it is smaller than the sum of its proper divisors (149779645328200).

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

102213300011000 is a wasteful number, since it uses less digits than its factorization.

102213300011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817314 (or 4817300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102213300011000 its reverse (110003312201), we get a palindrome (102323303323201).

The spelling of 102213300011000 in words is "one hundred two trillion, two hundred thirteen billion, three hundred million, eleven thousand".