20101121112210 has 192 divisors, whose sum is σ = 49418920886400. Its totient is φ = 5232520581120.

The previous prime is 20101121112209. The next prime is 20101121112223. The reversal of 20101121112210 is 1221112110102.

It is a happy number.

It is a super-2 number, since 2×20101121112210² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101121112210.

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, 19921824186 + ... + 19921825194.

It is an arithmetic number, because the mean of its divisors is an integer number (257390212950).

Almost surely, 2^{20101121112210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101121112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24709460443200).

20101121112210 is an abundant number, since it is smaller than the sum of its proper divisors (29317799774190).

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

20101121112210 is a wasteful number, since it uses less digits than its factorization.

20101121112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20101121112210 its reverse (1221112110102), we get a palindrome (21322233222312).

The spelling of 20101121112210 in words is "twenty trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred ten".