2102200101092 has 384 divisors, whose sum is σ = 5016104755200. Its totient is φ = 747456159744.

The previous prime is 2102200101047. The next prime is 2102200101149. The reversal of 2102200101092 is 2901010022012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5635925018 + ... + 5635925390.

It is an arithmetic number, because the mean of its divisors is an integer number (13062772800).

Almost surely, 2^{2102200101092} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102200101092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508052377600).

2102200101092 is an abundant number, since it is smaller than the sum of its proper divisors (2913904654108).

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

2102200101092 is a wasteful number, since it uses less digits than its factorization.

2102200101092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2102200101092 in words is "two trillion, one hundred two billion, two hundred million, one hundred one thousand, ninety-two".