2202100020120 has 1536 divisors, whose sum is σ = 9481349283840. Its totient is φ = 397434470400.

The previous prime is 2202100020101. The next prime is 2202100020143. The reversal of 2202100020120 is 210200012022.

It is a super-2 number, since 2×2202100020120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2202100020096 and 2202100020105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1515553314 + ... + 1515554766.

It is an arithmetic number, because the mean of its divisors is an integer number (6172753440).

Almost surely, 2^{2202100020120} is an apocalyptic number.

2202100020120 is a gapful number since it is divisible by the number (20) 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 2202100020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740674641920).

2202100020120 is an abundant number, since it is smaller than the sum of its proper divisors (7279249263720).

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

2202100020120 is a wasteful number, since it uses less digits than its factorization.

2202100020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2202100020120 its reverse (210200012022), we get a palindrome (2412300032142).

The spelling of 2202100020120 in words is "two trillion, two hundred two billion, one hundred million, twenty thousand, one hundred twenty".