102100220201020 has 96 divisors (see below), whose sum is σ = 228511668381696. Its totient is φ = 38230137792000.

The previous prime is 102100220200987. The next prime is 102100220201033. The reversal of 102100220201020 is 20102022001201.

It is a happy number.

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, 272246235 + ... + 272621005.

It is an arithmetic number, because the mean of its divisors is an integer number (2380329878976).

Almost surely, 2^{102100220201020} is an apocalyptic number.

102100220201020 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 102100220201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114255834190848).

102100220201020 is an abundant number, since it is smaller than the sum of its proper divisors (126411448180676).

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

102100220201020 is a wasteful number, since it uses less digits than its factorization.

102100220201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387451 (or 387449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100220201020 its reverse (20102022001201), we get a palindrome (122202242202221).

The spelling of 102100220201020 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, two hundred one thousand, twenty".