100014695001 has 189 divisors, whose sum is σ = 175804899879. Its totient is φ = 56834099712.

The previous prime is 100014694999. The next prime is 100014695021. The reversal of 100014695001 is 100596410001.

The square root of 100014695001 is 316251.

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

100014695001 is a `hidden beast` number, since 10 + 0 + 0 + 146 + 9 + 500 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 36800667225 + 63214027776 = 191835^2 + 251424^2 .

It is not a de Polignac number, because 100014695001 - 2¹ = 100014694999 is a prime.

It is a super-2 number, since 2×100014695001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100014695021) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1887069691 + ... + 1887069743.

Almost surely, 2^100014695001 is an apocalyptic number.

100014695001 is the 316251-st square number.

100014695001 is the 158126-th centered octagonal number.

It is an amenable number.

100014695001 is a deficient number, since it is larger than the sum of its proper divisors (75790204878).

100014695001 is an frugal number, since it uses more digits than its factorization.

100014695001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100014695001 in words is "one hundred billion, fourteen million, six hundred ninety-five thousand, one".