100120022222010 has 256 divisors, whose sum is σ = 291886250803200. Its totient is φ = 21469123436544.

The previous prime is 100120022222009. The next prime is 100120022222039. The reversal of 100120022222010 is 10222220021001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508933887 + ... + 509130573.

It is an arithmetic number, because the mean of its divisors is an integer number (1140180667200).

Almost surely, 2^{100120022222010} is an apocalyptic number.

100120022222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120022222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145943125401600).

100120022222010 is an abundant number, since it is smaller than the sum of its proper divisors (191766228581190).

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

100120022222010 is a wasteful number, since it uses less digits than its factorization.

100120022222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197965.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100120022222010 its reverse (10222220021001), we get a palindrome (110342242243011).

The spelling of 100120022222010 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, two hundred twenty-two thousand, ten".