101121113121210 has 192 divisors, whose sum is σ = 332333172767232. Its totient is φ = 20758809973248.

The previous prime is 101121113121167. The next prime is 101121113121221. The reversal of 101121113121210 is 12121311121101.

101121113121210 is a `hidden beast` number, since 10 + 1 + 121 + 11 + 312 + 1 + 210 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 166546974 + ... + 167153033.

It is an arithmetic number, because the mean of its divisors is an integer number (1730901941496).

Almost surely, 2^{101121113121210} is an apocalyptic number.

101121113121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121113121210 is an abundant number, since it is smaller than the sum of its proper divisors (231212059646022).

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

101121113121210 is a wasteful number, since it uses less digits than its factorization.

101121113121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333700077 (or 333700074 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101121113121210 its reverse (12121311121101), we get a palindrome (113242424242311).

The spelling of 101121113121210 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred ten".