101111230157652 has 324 divisors, whose sum is σ = 318646468262304. Its totient is φ = 26794283518080.

The previous prime is 101111230157627. The next prime is 101111230157657. The reversal of 101111230157652 is 256751032111101.

101111230157652 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 1 + 2 + 30 + 1 + 576 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111230157657) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22066993 + ... + 26252135.

It is an arithmetic number, because the mean of its divisors is an integer number (983476753896).

Almost surely, 2^{101111230157652} is an apocalyptic number.

101111230157652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111230157652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159323234131152).

101111230157652 is an abundant number, since it is smaller than the sum of its proper divisors (217535238104652).

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

101111230157652 is a wasteful number, since it uses less digits than its factorization.

101111230157652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185228 (or 4185191 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

Adding to 101111230157652 its reverse (256751032111101), we get a palindrome (357862262268753).

The spelling of 101111230157652 in words is "one hundred one trillion, one hundred eleven billion, two hundred thirty million, one hundred fifty-seven thousand, six hundred fifty-two".