101120002021200 has 120 divisors (see below), whose sum is σ = 332675696885728. Its totient is φ = 26236541053440.

The previous prime is 101120002021141. The next prime is 101120002021319. The reversal of 101120002021200 is 2120200021101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×101120002021200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138694362 + ... + 1138783161.

Almost surely, 2^{101120002021200} is an apocalyptic number.

101120002021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120002021200 is an abundant number, since it is smaller than the sum of its proper divisors (231555694864528).

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

101120002021200 is a wasteful number, since it uses less digits than its factorization.

101120002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277477581 (or 2277477570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101120002021200 its reverse (2120200021101), we get a palindrome (103240202042301).

The spelling of 101120002021200 in words is "one hundred one trillion, one hundred twenty billion, two million, twenty-one thousand, two hundred".