10101002101200 has 180 divisors, whose sum is σ = 36577339212960. Its totient is φ = 2576487471360.

The previous prime is 10101002101163. The next prime is 10101002101217. The reversal of 10101002101200 is 210120010101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60913590 + ... + 61079189.

It is an arithmetic number, because the mean of its divisors is an integer number (203207440072).

Almost surely, 2^{10101002101200} is an apocalyptic number.

10101002101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101002101200 is an abundant number, since it is smaller than the sum of its proper divisors (26476337111760).

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

10101002101200 is a wasteful number, since it uses less digits than its factorization.

10101002101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121992826 (or 121992812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101002101200 its reverse (210120010101), we get a palindrome (10311122111301).

The spelling of 10101002101200 in words is "ten trillion, one hundred one billion, two million, one hundred one thousand, two hundred".