101111213032002 has 160 divisors (see below), whose sum is σ = 244686554481600. Its totient is φ = 31102457241600.

The previous prime is 101111213032001. The next prime is 101111213032051. The reversal of 101111213032002 is 200230312111101.

101111213032002 is a `hidden beast` number, since 101 + 1 + 112 + 130 + 320 + 0 + 2 = 666.

It is a super-2 number, since 2×101111213032002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101111213032001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80267949 + ... + 81517887.

It is an arithmetic number, because the mean of its divisors is an integer number (1529290965510).

Almost surely, 2^{101111213032002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111213032002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122343277240800).

101111213032002 is an abundant number, since it is smaller than the sum of its proper divisors (143575341449598).

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

101111213032002 is a wasteful number, since it uses less digits than its factorization.

101111213032002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250654 (or 1250645 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101111213032002 its reverse (200230312111101), we get a palindrome (301341525143103).

The spelling of 101111213032002 in words is "one hundred one trillion, one hundred eleven billion, two hundred thirteen million, thirty-two thousand, two".