101210021120000 has 480 divisors, whose sum is σ = 277475628470040. Its totient is φ = 36664442880000.

The previous prime is 101210021119973. The next prime is 101210021120051. The reversal of 101210021120000 is 21120012101.

It can be written as a sum of positive squares in 20 ways, for example, as 82888059986944 + 18321961133056 = 9104288^2 + 4280416^2 .

It is a super-2 number, since 2×101210021120000² (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 39 ways as a sum of consecutive naturals, for example, 881862620 + ... + 881977380.

Almost surely, 2^{101210021120000} is an apocalyptic number.

101210021120000 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 101210021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138737814235020).

101210021120000 is an abundant number, since it is smaller than the sum of its proper divisors (176265607350040).

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

101210021120000 is an equidigital number, since it uses as much as digits as its factorization.

101210021120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114869 (or 114834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210021120000 its reverse (21120012101), we get a palindrome (101231141132101).

The spelling of 101210021120000 in words is "one hundred one trillion, two hundred ten billion, twenty-one million, one hundred twenty thousand".