101202002201232 has 120 divisors (see below), whose sum is σ = 283340481086520. Its totient is φ = 33720255129600.

The previous prime is 101202002201231. The next prime is 101202002201233. The reversal of 101202002201232 is 232102200202101.

101202002201232 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 200 + 220 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (101202002201231) and next prime (101202002201233).

It can be written as a sum of positive squares in 4 ways, for example, as 83459845124496 + 17742157076736 = 9135636^2 + 4212144^2 .

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 (101202002201231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4419096982 + ... + 4419119882.

It is an arithmetic number, because the mean of its divisors is an integer number (2361170675721).

Almost surely, 2^{101202002201232} is an apocalyptic number.

101202002201232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202002201232 is an abundant number, since it is smaller than the sum of its proper divisors (182138478885288).

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

101202002201232 is a wasteful number, since it uses less digits than its factorization.

101202002201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34081 (or 34072 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101202002201232 its reverse (232102200202101), we get a palindrome (333304202403333).

The spelling of 101202002201232 in words is "one hundred one trillion, two hundred two billion, two million, two hundred one thousand, two hundred thirty-two".