2100000022120 has 512 divisors, whose sum is σ = 6437781504000. Its totient is φ = 595337932800.

The previous prime is 2100000022097. The next prime is 2100000022129. The reversal of 2100000022120 is 212200000012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100000022097 and 2100000022106.

It is not an unprimeable number, because it can be changed into a prime (2100000022129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 781539417 + ... + 781542103.

It is an arithmetic number, because the mean of its divisors is an integer number (12573792000).

Almost surely, 2^{2100000022120} is an apocalyptic number.

2100000022120 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 2100000022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218890752000).

2100000022120 is an abundant number, since it is smaller than the sum of its proper divisors (4337781481880).

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

2100000022120 is a wasteful number, since it uses less digits than its factorization.

2100000022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2100000022120 its reverse (212200000012), we get a palindrome (2312200022132).

The spelling of 2100000022120 in words is "two trillion, one hundred billion, twenty-two thousand, one hundred twenty".