101690061054201 has 21 divisors (see below), whose sum is σ = 152465753534101. Its totient is φ = 67793192521452.

The previous prime is 101690061054191. The next prime is 101690061054221. The reversal of 101690061054201 is 102450160096101.

The square root of 101690061054201 is 10084149.

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

101690061054201 is a `hidden beast` number, since 1 + 0 + 16 + 9 + 0 + 0 + 610 + 5 + 4 + 20 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-101690061054201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101690061054221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 272085280 + ... + 272458766.

Almost surely, 2^{101690061054201} is an apocalyptic number.

101690061054201 is the 10084149-th square number.

101690061054201 is the 5042075-th centered octagonal number.

It is an amenable number.

101690061054201 is a deficient number, since it is larger than the sum of its proper divisors (50775692479900).

101690061054201 is an frugal number, since it uses more digits than its factorization.

101690061054201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746992 (or 373490 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 101690061054201 in words is "one hundred one trillion, six hundred ninety billion, sixty-one million, fifty-four thousand, two hundred one".