101210634162 has 120 divisors (see below), whose sum is σ = 249510699900. Its totient is φ = 30641276160.

The previous prime is 101210634157. The next prime is 101210634163. The reversal of 101210634162 is 261436012101.

It is a happy number.

101210634162 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 634 + 16 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89329852161 + 11880782001 = 298881^2 + 108999^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101210634163) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31538014 + ... + 31541222.

Almost surely, 2^101210634162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210634162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124755349950).

101210634162 is an abundant number, since it is smaller than the sum of its proper divisors (148300065738).

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

101210634162 is a wasteful number, since it uses less digits than its factorization.

101210634162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101210634162 its reverse (261436012101), we get a palindrome (362646646263).

The spelling of 101210634162 in words is "one hundred one billion, two hundred ten million, six hundred thirty-four thousand, one hundred sixty-two".