10211002131000 has 256 divisors, whose sum is σ = 35098653957120. Its totient is φ = 2450884800000.

The previous prime is 10211002130981. The next prime is 10211002131007. The reversal of 10211002131000 is 13120011201.

It is a super-2 number, since 2×10211002131000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211002131007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1801197 + ... + 4864803.

It is an arithmetic number, because the mean of its divisors is an integer number (137104117020).

Almost surely, 2^{10211002131000} is an apocalyptic number.

10211002131000 is a gapful number since it is divisible by the number (10) 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 10211002131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549326978560).

10211002131000 is an abundant number, since it is smaller than the sum of its proper divisors (24887651826120).

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

10211002131000 is a wasteful number, since it uses less digits than its factorization.

10211002131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063743 (or 3063729 counting only the distinct ones).

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

Adding to 10211002131000 its reverse (13120011201), we get a palindrome (10224122142201).

The spelling of 10211002131000 in words is "ten trillion, two hundred eleven billion, two million, one hundred thirty-one thousand".