101100012100002 has 48 divisors (see below), whose sum is σ = 221178658691328. Its totient is φ = 33372527834880.

The previous prime is 101100012099949. The next prime is 101100012100013. The reversal of 101100012100002 is 200001210001101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353513127 + ... + 353798997.

It is an arithmetic number, because the mean of its divisors is an integer number (4607888722736).

Almost surely, 2^{101100012100002} is an apocalyptic number.

101100012100002 is an abundant number, since it is smaller than the sum of its proper divisors (120078646591326).

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

101100012100002 is a wasteful number, since it uses less digits than its factorization.

101100012100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476735 (or 476732 counting only the distinct ones).

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

Adding to 101100012100002 its reverse (200001210001101), we get a palindrome (301101222101103).

The spelling of 101100012100002 in words is "one hundred one trillion, one hundred billion, twelve million, one hundred thousand, two".