101212122201120 has 384 divisors, whose sum is σ = 412487146068480. Its totient is φ = 22697704673280.

The previous prime is 101212122201107. The next prime is 101212122201139. The reversal of 101212122201120 is 21102221212101.

101212122201120 is a `hidden beast` number, since 1 + 0 + 121 + 212 + 220 + 112 + 0 = 666.

It is a super-3 number, since 3×101212122201120³ (a number of 43 digits) contains 333 as substring.

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 = 101212122201093 and 101212122201102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29972391 + ... + 33177830.

It is an arithmetic number, because the mean of its divisors is an integer number (1074185276220).

Almost surely, 2^{101212122201120} is an apocalyptic number.

101212122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212122201120 is an abundant number, since it is smaller than the sum of its proper divisors (311275023867360).

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

101212122201120 is a wasteful number, since it uses less digits than its factorization.

101212122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63150305 (or 63150291 counting only the distinct ones).

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

Adding to 101212122201120 its reverse (21102221212101), we get a palindrome (122314343413221).

The spelling of 101212122201120 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".