100942028154081 has 45 divisors (see below), whose sum is σ = 153921967614051. Its totient is φ = 63745987744944.

The previous prime is 100942028154061. The next prime is 100942028154103. The reversal of 100942028154081 is 180451820249001.

The square root of 100942028154081 is 10046991.

It is a perfect power (a square), and thus also a powerful number.

100942028154081 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 4 + 2 + 0 + 28 + 1 + 540 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82660554486225 + 18281473667856 = 9091785^2 + 4275684^2 .

It is not a de Polignac number, because 100942028154081 - 2⁵ = 100942028154049 is a prime.

It is a super-2 number, since 2×100942028154081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100942028154041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10880886615 + ... + 10880895891.

Almost surely, 2^{100942028154081} is an apocalyptic number.

100942028154081 is the 10046991-st square number.

100942028154081 is the 5023496-th centered octagonal number.

It is an amenable number.

100942028154081 is a deficient number, since it is larger than the sum of its proper divisors (52979939459970).

100942028154081 is an frugal number, since it uses more digits than its factorization.

100942028154081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18636 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 100942028154081 in words is "one hundred trillion, nine hundred forty-two billion, twenty-eight million, one hundred fifty-four thousand, eighty-one".