101100200220120 has 64 divisors (see below), whose sum is σ = 319263790176000. Its totient is φ = 25541103212928.

The previous prime is 101100200220113. The next prime is 101100200220127. The reversal of 101100200220120 is 21022002001101.

It is an interprime number because it is at equal distance from previous prime (101100200220113) and next prime (101100200220127).

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

It is a junction number, because it is equal to n+sod(n) for n = 101100200220096 and 101100200220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100200220127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22171094260 + ... + 22171098819.

It is an arithmetic number, because the mean of its divisors is an integer number (4988496721500).

Almost surely, 2^{101100200220120} is an apocalyptic number.

101100200220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100200220120 is an abundant number, since it is smaller than the sum of its proper divisors (218163589955880).

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

101100200220120 is a wasteful number, since it uses less digits than its factorization.

101100200220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44342193112 (or 44342193108 counting only the distinct ones).

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

Adding to 101100200220120 its reverse (21022002001101), we get a palindrome (122122202221221).

The spelling of 101100200220120 in words is "one hundred one trillion, one hundred billion, two hundred million, two hundred twenty thousand, one hundred twenty".