102320220201000 has 128 divisors (see below), whose sum is σ = 319380929112960. Its totient is φ = 27273268800000.

The previous prime is 102320220200983. The next prime is 102320220201011. The reversal of 102320220201000 is 102022023201.

It is a happy number.

It is a super-2 number, since 2×102320220201000² (a number of 29 digits) contains 22 as substring.

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

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, 822909 + ... + 14328908.

It is an arithmetic number, because the mean of its divisors is an integer number (2495163508695).

Almost surely, 2^{102320220201000} is an apocalyptic number.

102320220201000 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 102320220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159690464556480).

102320220201000 is an abundant number, since it is smaller than the sum of its proper divisors (217060708911960).

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

102320220201000 is a wasteful number, since it uses less digits than its factorization.

102320220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15154092 (or 15154078 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102320220201000 its reverse (102022023201), we get a palindrome (102422242224201).

The spelling of 102320220201000 in words is "one hundred two trillion, three hundred twenty billion, two hundred twenty million, two hundred one thousand".