100067681137152 has 40 divisors (see below), whose sum is σ = 266586556783536. Its totient is φ = 33355893711872.

The previous prime is 100067681137087. The next prime is 100067681137157. The reversal of 100067681137152 is 251731186760001.

It is a super-2 number, since 2×100067681137152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100067681137157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32574113418 + ... + 32574116489.

Almost surely, 2^{100067681137152} is an apocalyptic number.

100067681137152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100067681137152 is an abundant number, since it is smaller than the sum of its proper divisors (166518875646384).

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

100067681137152 is an frugal number, since it uses more digits than its factorization.

100067681137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65148229928 (or 65148229912 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 100067681137152 in words is "one hundred trillion, sixty-seven billion, six hundred eighty-one million, one hundred thirty-seven thousand, one hundred fifty-two".