100150142461020 has 72 divisors (see below), whose sum is σ = 307950255443376. Its totient is φ = 26340859383552.

The previous prime is 100150142461007. The next prime is 100150142461063. The reversal of 100150142461020 is 20164241051001.

100150142461020 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 0 + 1 + 4 + 24 + 610 + 20 = 666.

It is a super-2 number, since 2×100150142461020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3810875082 + ... + 3810901361.

It is an arithmetic number, because the mean of its divisors is an integer number (4277086881158).

Almost surely, 2^{100150142461020} is an apocalyptic number.

100150142461020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100150142461020 is an abundant number, since it is smaller than the sum of its proper divisors (207800112982356).

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

100150142461020 is a wasteful number, since it uses less digits than its factorization.

100150142461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621776531 (or 7621776526 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 100150142461020 in words is "one hundred trillion, one hundred fifty billion, one hundred forty-two million, four hundred sixty-one thousand, twenty".