101212222110120 has 192 divisors, whose sum is σ = 361582596872640. Its totient is φ = 24348996172800.

The previous prime is 101212222110101. The next prime is 101212222110161. The reversal of 101212222110120 is 21011222212101.

101212222110120 is a `hidden beast` number, since 1 + 0 + 1 + 212 + 222 + 110 + 120 = 666.

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 = 101212222110093 and 101212222110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97033309 + ... + 98070828.

It is an arithmetic number, because the mean of its divisors is an integer number (1883242692045).

Almost surely, 2^{101212222110120} is an apocalyptic number.

101212222110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212222110120 is an abundant number, since it is smaller than the sum of its proper divisors (260370374762520).

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

101212222110120 is a wasteful number, since it uses less digits than its factorization.

101212222110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195104296 (or 195104289 counting only the distinct ones).

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

Adding to 101212222110120 its reverse (21011222212101), we get a palindrome (122223444322221).

The spelling of 101212222110120 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty-two million, one hundred ten thousand, one hundred twenty".