101012233120000 has 360 divisors, whose sum is σ = 254775479999040. Its totient is φ = 39953894400000.

The previous prime is 101012233119991. The next prime is 101012233120021. The reversal of 101012233120000 is 21332210101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14269276461 + ... + 14269283539.

It is an arithmetic number, because the mean of its divisors is an integer number (707709666664).

Almost surely, 2^{101012233120000} is an apocalyptic number.

101012233120000 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 101012233120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127387739999520).

101012233120000 is an abundant number, since it is smaller than the sum of its proper divisors (153763246879040).

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

101012233120000 is an frugal number, since it uses more digits than its factorization.

101012233120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101012233120000 its reverse (21332210101), we get a palindrome (101033565330101).

The spelling of 101012233120000 in words is "one hundred one trillion, twelve billion, two hundred thirty-three million, one hundred twenty thousand".