20101122100000 has 288 divisors, whose sum is σ = 49765649294592. Its totient is φ = 7991654400000.

The previous prime is 20101122099977. The next prime is 20101122100057. The reversal of 20101122100000 is 122110102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20101122100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16329099385 + ... + 16329100615.

It is an arithmetic number, because the mean of its divisors is an integer number (172797393384).

Almost surely, 2^{20101122100000} is an apocalyptic number.

20101122100000 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 20101122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24882824647296).

20101122100000 is an abundant number, since it is smaller than the sum of its proper divisors (29664527194592).

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

20101122100000 is an equidigital number, since it uses as much as digits as its factorization.

20101122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101122100000 its reverse (122110102), we get a palindrome (20101244210102).

The spelling of 20101122100000 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand".