10211031000000 has 294 divisors, whose sum is σ = 36584659835360. Its totient is φ = 2722939200000.

The previous prime is 10211030999867. The next prime is 10211031000013. The reversal of 10211031000000 is 13011201.

It is a super-2 number, since 2×10211031000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8432721 + ... + 9567279.

Almost surely, 2^{10211031000000} is an apocalyptic number.

10211031000000 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 10211031000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292329917680).

10211031000000 is an abundant number, since it is smaller than the sum of its proper divisors (26373628835360).

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

10211031000000 is an frugal number, since it uses more digits than its factorization.

10211031000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134607 (or 1134569 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10211031000000 its reverse (13011201), we get a palindrome (10211044011201).

The spelling of 10211031000000 in words is "ten trillion, two hundred eleven billion, thirty-one million", and thus it is an aban number.