102201101021120 has 112 divisors (see below), whose sum is σ = 252887281839360. Its totient is φ = 39293770285056.

The previous prime is 102201101021111. The next prime is 102201101021171. The reversal of 102201101021120 is 21120101102201.

It is a junction number, because it is equal to n+sod(n) for n = 102201101021095 and 102201101021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22623497 + ... + 26762376.

It is an arithmetic number, because the mean of its divisors is an integer number (2257922159280).

Almost surely, 2^{102201101021120} is an apocalyptic number.

102201101021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201101021120 is an abundant number, since it is smaller than the sum of its proper divisors (150686180818240).

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

102201101021120 is a wasteful number, since it uses less digits than its factorization.

102201101021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49386142 (or 49386132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201101021120 its reverse (21120101102201), we get a palindrome (123321202123321).

The spelling of 102201101021120 in words is "one hundred two trillion, two hundred one billion, one hundred one million, twenty-one thousand, one hundred twenty".