10120100222032 has 80 divisors (see below), whose sum is σ = 20335319488000. Its totient is φ = 4873863052800.

The previous prime is 10120100221981. The next prime is 10120100222033. The reversal of 10120100222032 is 23022200102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10120100221997 and 10120100222015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120100222033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92264182 + ... + 92373802.

It is an arithmetic number, because the mean of its divisors is an integer number (254191493600).

Almost surely, 2^{10120100222032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120100222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167659744000).

10120100222032 is an abundant number, since it is smaller than the sum of its proper divisors (10215219265968).

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

10120100222032 is a wasteful number, since it uses less digits than its factorization.

10120100222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110532 (or 110526 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120100222032 its reverse (23022200102101), we get a palindrome (33142300324133).

The spelling of 10120100222032 in words is "ten trillion, one hundred twenty billion, one hundred million, two hundred twenty-two thousand, thirty-two".