2100107701224 has 512 divisors, whose sum is σ = 6733194854400. Its totient is φ = 601530209280.

The previous prime is 2100107701207. The next prime is 2100107701267. The reversal of 2100107701224 is 4221077010012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434712489 + ... + 434717319.

It is an arithmetic number, because the mean of its divisors is an integer number (13150771200).

Almost surely, 2^{2100107701224} is an apocalyptic number.

2100107701224 is a gapful number since it is divisible by the number (24) 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 2100107701224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366597427200).

2100107701224 is an abundant number, since it is smaller than the sum of its proper divisors (4633087153176).

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

2100107701224 is a wasteful number, since it uses less digits than its factorization.

2100107701224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 2100107701224 in words is "two trillion, one hundred billion, one hundred seven million, seven hundred one thousand, two hundred twenty-four".