101212221201120 has 144 divisors (see below), whose sum is σ = 345587402854512. Its totient is φ = 26974242293760.

The previous prime is 101212221201107. The next prime is 101212221201173. The reversal of 101212221201120 is 21102122212101.

101212221201120 is a `hidden beast` number, since 1 + 0 + 121 + 2 + 221 + 201 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101212221201093 and 101212221201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17941942 + ... + 22898421.

It is an arithmetic number, because the mean of its divisors is an integer number (2399912519823).

Almost surely, 2^{101212221201120} is an apocalyptic number.

101212221201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212221201120 is an abundant number, since it is smaller than the sum of its proper divisors (244375181653392).

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

101212221201120 is a wasteful number, since it uses less digits than its factorization.

101212221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842105 (or 40842094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212221201120 its reverse (21102122212101), we get a palindrome (122314343413221).

The spelling of 101212221201120 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".