101201200002000 has 960 divisors, whose sum is σ = 421725013871616. Its totient is φ = 22115214950400.

The previous prime is 101201200001981. The next prime is 101201200002017. The reversal of 101201200002000 is 200002102101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6934906704 + ... + 6934921296.

Almost surely, 2^{101201200002000} is an apocalyptic number.

101201200002000 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 101201200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210862506935808).

101201200002000 is an abundant number, since it is smaller than the sum of its proper divisors (320523813869616).

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

101201200002000 is a wasteful number, since it uses less digits than its factorization.

101201200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17045 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101201200002000 its reverse (200002102101), we get a palindrome (101401202104101).

The spelling of 101201200002000 in words is "one hundred one trillion, two hundred one billion, two hundred million, two thousand".