101220921914112 has 3456 divisors, whose sum is σ = 445567602816000. Its totient is φ = 22192788602880.

The previous prime is 101220921914089. The next prime is 101220921914129. The reversal of 101220921914112 is 211419129022101.

101220921914112 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 20 + 9 + 219 + 1 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26686241688 + ... + 26686245480.

It is an arithmetic number, because the mean of its divisors is an integer number (128925811000).

Almost surely, 2^{101220921914112} is an apocalyptic number.

101220921914112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220921914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222783801408000).

101220921914112 is an abundant number, since it is smaller than the sum of its proper divisors (344346680901888).

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

101220921914112 is a wasteful number, since it uses less digits than its factorization.

101220921914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 101220921914112 in words is "one hundred one trillion, two hundred twenty billion, nine hundred twenty-one million, nine hundred fourteen thousand, one hundred twelve".