10001022200120 has 384 divisors, whose sum is σ = 27850204468800. Its totient is φ = 3213623476224.

The previous prime is 10001022200041. The next prime is 10001022200159. The reversal of 10001022200120 is 2100222010001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2579575622 + ... + 2579579498.

Almost surely, 2^{10001022200120} is an apocalyptic number.

10001022200120 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 10001022200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925102234400).

10001022200120 is an abundant number, since it is smaller than the sum of its proper divisors (17849182268680).

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

10001022200120 is a wasteful number, since it uses less digits than its factorization.

10001022200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10001022200120 its reverse (2100222010001), we get a palindrome (12101244210121).

The spelling of 10001022200120 in words is "ten trillion, one billion, twenty-two million, two hundred thousand, one hundred twenty".