101200021210000 has 400 divisors, whose sum is σ = 249557458550400. Its totient is φ = 39737313792000.

The previous prime is 101200021209971. The next prime is 101200021210051. The reversal of 101200021210000 is 12120002101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139202229637 + ... + 139202230363.

It is an arithmetic number, because the mean of its divisors is an integer number (623893646376).

Almost surely, 2^{101200021210000} is an apocalyptic number.

101200021210000 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 101200021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124778729275200).

101200021210000 is an abundant number, since it is smaller than the sum of its proper divisors (148357437340400).

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

101200021210000 is an equidigital number, since it uses as much as digits as its factorization.

101200021210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200021210000 its reverse (12120002101), we get a palindrome (101212141212101).

The spelling of 101200021210000 in words is "one hundred one trillion, two hundred billion, twenty-one million, two hundred ten thousand".