101106051961 has 2 divisors, whose sum is σ = 101106051962. Its totient is φ = 101106051960.

The previous prime is 101106051931. The next prime is 101106051967. The reversal of 101106051961 is 169150601101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95502631225 + 5603420736 = 309035^2 + 74856^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106051961 - 2¹⁵ = 101106019193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101106051967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553025980 + 50553025981.

It is an arithmetic number, because the mean of its divisors is an integer number (50553025981).

Almost surely, 2^101106051961 is an apocalyptic number.

It is an amenable number.

101106051961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106051961 is an equidigital number, since it uses as much as digits as its factorization.

101106051961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 31.

The spelling of 101106051961 in words is "one hundred one billion, one hundred six million, fifty-one thousand, nine hundred sixty-one".