101002201122120 has 128 divisors (see below), whose sum is σ = 320833723011840. Its totient is φ = 25349319065600.

The previous prime is 101002201122071. The next prime is 101002201122143. The reversal of 101002201122120 is 21221102200101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101002201122120.

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, 284816920 + ... + 285171320.

It is an arithmetic number, because the mean of its divisors is an integer number (2506513461030).

Almost surely, 2^{101002201122120} is an apocalyptic number.

101002201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002201122120 is an abundant number, since it is smaller than the sum of its proper divisors (219831521889720).

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

101002201122120 is a wasteful number, since it uses less digits than its factorization.

101002201122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494135 (or 494131 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002201122120 its reverse (21221102200101), we get a palindrome (122223303322221).

The spelling of 101002201122120 in words is "one hundred one trillion, two billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".