101900769961 has 27 divisors (see below), whose sum is σ = 109960578021. Its totient is φ = 94417318944.

The previous prime is 101900769907. The next prime is 101900769977. The reversal of 101900769961 is 169967009101.

It is a happy number.

The square root of 101900769961 is 319219.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9946272361 + 91954497600 = 99731^2 + 303240^2 .

It is not a de Polignac number, because 101900769961 - 2⁹ = 101900769449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101900769161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 321453375 + ... + 321453691.

Almost surely, 2^101900769961 is an apocalyptic number.

101900769961 is the 319219-th square number.

101900769961 is the 159610-th centered octagonal number.

It is an amenable number.

101900769961 is a deficient number, since it is larger than the sum of its proper divisors (8059808060).

101900769961 is an frugal number, since it uses more digits than its factorization.

101900769961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 49.

Multiplying 101900769961 by its sum of digits (49), we get a square (4993137728089 = 2234533²).

The spelling of 101900769961 in words is "one hundred one billion, nine hundred million, seven hundred sixty-nine thousand, nine hundred sixty-one".