101020112101200 has 120 divisors (see below), whose sum is σ = 331493802163776. Its totient is φ = 26281655168000.

The previous prime is 101020112101199. The next prime is 101020112101201. The reversal of 101020112101200 is 2101211020101.

It is an interprime number because it is at equal distance from previous prime (101020112101199) and next prime (101020112101201).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020112101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026577956 + ... + 1026676355.

Almost surely, 2^{101020112101200} is an apocalyptic number.

101020112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020112101200 is an abundant number, since it is smaller than the sum of its proper divisors (230473690062576).

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

101020112101200 is a wasteful number, since it uses less digits than its factorization.

101020112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053254373 (or 2053254362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020112101200 its reverse (2101211020101), we get a palindrome (103121323121301).

The spelling of 101020112101200 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred one thousand, two hundred".