101611136642112 has 84 divisors (see below), whose sum is σ = 291261650849676. Its totient is φ = 33869021260800.

The previous prime is 101611136642083. The next prime is 101611136642173. The reversal of 101611136642112 is 211246631116101.

101611136642112 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 1 + 1 + 3 + 6 + 642 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21052900662336 + 80558235979776 = 4588344^2 + 8975424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10898362 + ... + 17944262.

Almost surely, 2^{101611136642112} is an apocalyptic number.

101611136642112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101611136642112 is an abundant number, since it is smaller than the sum of its proper divisors (189650514207564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101611136642112 is a wasteful number, since it uses less digits than its factorization.

101611136642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070956 (or 7070943 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 101611136642112 its reverse (211246631116101), we get a palindrome (312857767758213).

The spelling of 101611136642112 in words is "one hundred one trillion, six hundred eleven billion, one hundred thirty-six million, six hundred forty-two thousand, one hundred twelve".