101067774012 has 36 divisors (see below), whose sum is σ = 266584565520. Its totient is φ = 32224507392.

The previous prime is 101067774011. The next prime is 101067774079. The reversal of 101067774012 is 210477760101.

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

It is a super-2 number, since 2×101067774012² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (101067774011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61030437 + ... + 61032092.

It is an arithmetic number, because the mean of its divisors is an integer number (7405126820).

Almost surely, 2^101067774012 is an apocalyptic number.

101067774012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101067774012 is an abundant number, since it is smaller than the sum of its proper divisors (165516791508).

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

101067774012 is a wasteful number, since it uses less digits than its factorization.

101067774012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122062562 (or 122062557 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 101067774012 in words is "one hundred one billion, sixty-seven million, seven hundred seventy-four thousand, twelve".