2022100345251 has 24 divisors (see below), whose sum is σ = 3338990114304. Its totient is φ = 1155167552880.

The previous prime is 2022100345249. The next prime is 2022100345367. The reversal of 2022100345251 is 1525430012202.

2022100345251 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 100 + 34 + 525 + 1 = 666.

It is not a de Polignac number, because 2022100345251 - 2¹ = 2022100345249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2022100345211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191081 + ... + 4648586.

It is an arithmetic number, because the mean of its divisors is an integer number (139124588096).

Almost surely, 2^{2022100345251} is an apocalyptic number.

2022100345251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2022100345251 is a deficient number, since it is larger than the sum of its proper divisors (1316889769053).

2022100345251 is a wasteful number, since it uses less digits than its factorization.

2022100345251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843311 (or 8843308 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2022100345251 its reverse (1525430012202), we get a palindrome (3547530357453).

The spelling of 2022100345251 in words is "two trillion, twenty-two billion, one hundred million, three hundred forty-five thousand, two hundred fifty-one".