101200010220120 has 128 divisors (see below), whose sum is σ = 346995699287040. Its totient is φ = 23129815196160.

The previous prime is 101200010220059. The next prime is 101200010220151. The reversal of 101200010220120 is 21022010002101.

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 = 101200010220096 and 101200010220105.

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, 7846029 + ... + 16246851.

It is an arithmetic number, because the mean of its divisors is an integer number (2710903900680).

Almost surely, 2^{101200010220120} is an apocalyptic number.

101200010220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200010220120 is an abundant number, since it is smaller than the sum of its proper divisors (245795689066920).

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

101200010220120 is a wasteful number, since it uses less digits than its factorization.

101200010220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415185 (or 8415181 counting only the distinct ones).

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

Adding to 101200010220120 its reverse (21022010002101), we get a palindrome (122222020222221).

The spelling of 101200010220120 in words is "one hundred one trillion, two hundred billion, ten million, two hundred twenty thousand, one hundred twenty".