101012102200120 has 128 divisors (see below), whose sum is σ = 238180331520000. Its totient is φ = 38481684595200.

The previous prime is 101012102200117. The next prime is 101012102200169. The reversal of 101012102200120 is 21002201210101.

It is a super-3 number, since 3×101012102200120³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012102200120.

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, 2177008681 + ... + 2177055079.

It is an arithmetic number, because the mean of its divisors is an integer number (1860783840000).

Almost surely, 2^{101012102200120} is an apocalyptic number.

101012102200120 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 101012102200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119090165760000).

101012102200120 is an abundant number, since it is smaller than the sum of its proper divisors (137168229319880).

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

101012102200120 is a wasteful number, since it uses less digits than its factorization.

101012102200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56573 (or 56569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101012102200120 its reverse (21002201210101), we get a palindrome (122014303410221).

The spelling of 101012102200120 in words is "one hundred one trillion, twelve billion, one hundred two million, two hundred thousand, one hundred twenty".