101202002210000 has 100 divisors (see below), whose sum is σ = 245050351961184. Its totient is φ = 40475814000000.

The previous prime is 101202002209967. The next prime is 101202002210021. The reversal of 101202002210000 is 12200202101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81090725 + ... + 82329275.

Almost surely, 2^{101202002210000} is an apocalyptic number.

101202002210000 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 101202002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122525175980592).

101202002210000 is an abundant number, since it is smaller than the sum of its proper divisors (143848349751184).

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

101202002210000 is an equidigital number, since it uses as much as digits as its factorization.

101202002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246750 (or 1246729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101202002210000 its reverse (12200202101), we get a palindrome (101214202412101).

The spelling of 101202002210000 in words is "one hundred one trillion, two hundred two billion, two million, two hundred ten thousand".