2126553500106 has 96 divisors (see below), whose sum is σ = 5287343233536. Its totient is φ = 605097216000.

The previous prime is 2126553500083. The next prime is 2126553500143. The reversal of 2126553500106 is 6010053556212.

2126553500106 is a `hidden beast` number, since 2 + 12 + 6 + 5 + 535 + 0 + 0 + 106 = 666.

It is a super-2 number, since 2×2126553500106² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93582826 + ... + 93605546.

It is an arithmetic number, because the mean of its divisors is an integer number (55076492016).

Almost surely, 2^{2126553500106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126553500106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643671616768).

2126553500106 is an abundant number, since it is smaller than the sum of its proper divisors (3160789733430).

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

2126553500106 is a wasteful number, since it uses less digits than its factorization.

2126553500106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25748 (or 25745 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2126553500106 in words is "two trillion, one hundred twenty-six billion, five hundred fifty-three million, five hundred thousand, one hundred six".