100122021220000 has 1440 divisors, whose sum is σ = 296727475613184. Its totient is φ = 32995123200000.

The previous prime is 100122021219953. The next prime is 100122021220003. The reversal of 100122021220000 is 22120221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100122021220003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 123455019595 + ... + 123455020405.

Almost surely, 2^{100122021220000} is an apocalyptic number.

100122021220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148363737806592).

100122021220000 is an abundant number, since it is smaller than the sum of its proper divisors (196605454393184).

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

100122021220000 is a wasteful number, since it uses less digits than its factorization.

100122021220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100122021220000 its reverse (22120221001), we get a palindrome (100144141441001).

The spelling of 100122021220000 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty thousand".