100010220121000 has 128 divisors (see below), whose sum is σ = 267461804563200. Its totient is φ = 34288461715200.

The previous prime is 100010220120977. The next prime is 100010220121057. The reversal of 100010220121000 is 121022010001.

It is a super-5 number, since 5×100010220121000⁵ (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383952807 + ... + 384213193.

It is an arithmetic number, because the mean of its divisors is an integer number (2089545348150).

Almost surely, 2^{100010220121000} is an apocalyptic number.

100010220121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010220121000 is an abundant number, since it is smaller than the sum of its proper divisors (167451584442200).

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

100010220121000 is a wasteful number, since it uses less digits than its factorization.

100010220121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315284 (or 315270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010220121000 its reverse (121022010001), we get a palindrome (100131242131001).

The spelling of 100010220121000 in words is "one hundred trillion, ten billion, two hundred twenty million, one hundred twenty-one thousand".