101210233000000 has 196 divisors, whose sum is σ = 251362574314740. Its totient is φ = 40432979200000.

The previous prime is 101210232999973. The next prime is 101210233000057. The reversal of 101210233000000 is 332012101.

It can be written as a sum of positive squares in 14 ways, for example, as 95964594007104 + 5245638992896 = 9796152^2 + 2290336^2 .

It is a super-2 number, since 2×101210233000000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 796936506 + ... + 797063494.

Almost surely, 2^{101210233000000} is an apocalyptic number.

101210233000000 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 101210233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125681287157370).

101210233000000 is an abundant number, since it is smaller than the sum of its proper divisors (150152341314740).

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

101210233000000 is an frugal number, since it uses more digits than its factorization.

101210233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127828 (or 127793 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101210233000000 its reverse (332012101), we get a palindrome (101210565012101).

The spelling of 101210233000000 in words is "one hundred one trillion, two hundred ten billion, two hundred thirty-three million", and thus it is an aban number.