10102221122000 has 120 divisors (see below), whose sum is σ = 28415280446280. Its totient is φ = 3463618636800.

The previous prime is 10102221121999. The next prime is 10102221122003. The reversal of 10102221122000 is 22112220101.

It can be written as a sum of positive squares in 4 ways, for example, as 1322923233856 + 8779297888144 = 1150184^2 + 2962988^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102221122003) 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, 51443945 + ... + 51639944.

It is an arithmetic number, because the mean of its divisors is an integer number (236794003719).

Almost surely, 2^{10102221122000} is an apocalyptic number.

10102221122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102221122000 is an abundant number, since it is smaller than the sum of its proper divisors (18313059324280).

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

10102221122000 is a wasteful number, since it uses less digits than its factorization.

10102221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103083926 (or 103083903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102221122000 its reverse (22112220101), we get a palindrome (10124333342101).

The spelling of 10102221122000 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand".