20101131121000 has 128 divisors (see below), whose sum is σ = 47434888949760. Its totient is φ = 7972451424000.

The previous prime is 20101131120971. The next prime is 20101131121003. The reversal of 20101131121000 is 12113110102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20101131121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220045335 + ... + 220136665.

It is an arithmetic number, because the mean of its divisors is an integer number (370585069920).

Almost surely, 2^{20101131121000} is an apocalyptic number.

20101131121000 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 20101131121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23717444474880).

20101131121000 is an abundant number, since it is smaller than the sum of its proper divisors (27333757828760).

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

20101131121000 is a wasteful number, since it uses less digits than its factorization.

20101131121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93212 (or 93198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 20101131121000 its reverse (12113110102), we get a palindrome (20113244231102).

The spelling of 20101131121000 in words is "twenty trillion, one hundred one billion, one hundred thirty-one million, one hundred twenty-one thousand".