101220201120 has 96 divisors (see below), whose sum is σ = 319003090560. Its totient is φ = 26978554880.

The previous prime is 101220201091. The next prime is 101220201179. The reversal of 101220201120 is 21102022101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101220201120² (a number of 23 digits) contains 22 as substring.

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 = 101220201096 and 101220201105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927010 + ... + 1030430.

It is an arithmetic number, because the mean of its divisors is an integer number (3322948860).

Almost surely, 2^101220201120 is an apocalyptic number.

101220201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220201120 is an abundant number, since it is smaller than the sum of its proper divisors (217782889440).

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

101220201120 is a wasteful number, since it uses less digits than its factorization.

101220201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105478 (or 105470 counting only the distinct ones).

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

Adding to 101220201120 its reverse (21102022101), we get a palindrome (122322223221).

The spelling of 101220201120 in words is "one hundred one billion, two hundred twenty million, two hundred one thousand, one hundred twenty".