102077760661261 has 32 divisors (see below), whose sum is σ = 132059610372096. Its totient is φ = 76597074792000.

The previous prime is 102077760661187. The next prime is 102077760661297. The reversal of 102077760661261 is 162166067770201.

It is a happy number.

It is not a de Polignac number, because 102077760661261 - 2²¹ = 102077758564109 is a prime.

It is a super-2 number, since 2×102077760661261² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102077760661199 and 102077760661208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102077760662261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216876810 + ... + 217346971.

It is an arithmetic number, because the mean of its divisors is an integer number (4126862824128).

Almost surely, 2^{102077760661261} is an apocalyptic number.

102077760661261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102077760661261 is a deficient number, since it is larger than the sum of its proper divisors (29981849710835).

102077760661261 is a wasteful number, since it uses less digits than its factorization.

102077760661261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434223913.

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 102077760661261 in words is "one hundred two trillion, seventy-seven billion, seven hundred sixty million, six hundred sixty-one thousand, two hundred sixty-one".