102201010022120 has 48 divisors (see below), whose sum is σ = 242692010675460. Its totient is φ = 38728803792384.

The previous prime is 102201010022077. The next prime is 102201010022143. The reversal of 102201010022120 is 21220010102201.

It can be written as a sum of positive squares in 2 ways, for example, as 93601019756644 + 8599990265476 = 9674762^2 + 2932574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102201010022095 and 102201010022104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3538801697 + ... + 3538830576.

Almost surely, 2^{102201010022120} is an apocalyptic number.

102201010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201010022120 is an abundant number, since it is smaller than the sum of its proper divisors (140491000653340).

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

102201010022120 is a wasteful number, since it uses less digits than its factorization.

102201010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077632322 (or 7077632299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102201010022120 its reverse (21220010102201), we get a palindrome (123421020124321).

The spelling of 102201010022120 in words is "one hundred two trillion, two hundred one billion, ten million, twenty-two thousand, one hundred twenty".