101177113122 has 90 divisors (see below), whose sum is σ = 230764607073. Its totient is φ = 33133267728.

The previous prime is 101177113111. The next prime is 101177113153. The reversal of 101177113122 is 221311771101.

It can be written as a sum of positive squares in 2 ways, for example, as 100984763961 + 192349161 = 317781^2 + 13869^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224919.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 271252128 + ... + 271252500.

Almost surely, 2^101177113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101177113122

101177113122 is an abundant number, since it is smaller than the sum of its proper divisors (129587493951).

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

101177113122 is an frugal number, since it uses more digits than its factorization.

101177113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

Adding to 101177113122 its reverse (221311771101), we get a palindrome (322488884223).

The spelling of 101177113122 in words is "one hundred one billion, one hundred seventy-seven million, one hundred thirteen thousand, one hundred twenty-two".