101034455325012 has 36 divisors (see below), whose sum is σ = 278610164685216. Its totient is φ = 30616501613520.

The previous prime is 101034455324993. The next prime is 101034455325109. The reversal of 101034455325012 is 210523554430101.

101034455325012 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 44 + 553 + 2 + 50 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101034455325012² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127568756328 + ... + 127568757119.

It is an arithmetic number, because the mean of its divisors is an integer number (7739171241256).

Almost surely, 2^{101034455325012} is an apocalyptic number.

101034455325012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101034455325012 is an abundant number, since it is smaller than the sum of its proper divisors (177575709360204).

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

101034455325012 is a wasteful number, since it uses less digits than its factorization.

101034455325012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255137513468 (or 255137513463 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 101034455325012 in words is "one hundred one trillion, thirty-four billion, four hundred fifty-five million, three hundred twenty-five thousand, twelve".