2133022456100 has 72 divisors (see below), whose sum is σ = 4692760373280. Its totient is φ = 841396481280.

The previous prime is 2133022456099. The next prime is 2133022456121. The reversal of 2133022456100 is 16542203312.

It is a happy number.

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, 61032431 + ... + 61067369.

Almost surely, 2^{2133022456100} is an apocalyptic number.

2133022456100 is a gapful number since it is divisible by the number (20) 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 2133022456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346380186640).

2133022456100 is an abundant number, since it is smaller than the sum of its proper divisors (2559737917180).

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

2133022456100 is a wasteful number, since it uses less digits than its factorization.

2133022456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43389 (or 43382 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 2133022456100 its reverse (16542203312), we get a palindrome (2149564659412).

The spelling of 2133022456100 in words is "two trillion, one hundred thirty-three billion, twenty-two million, four hundred fifty-six thousand, one hundred".