2102120420253 has 32 divisors (see below), whose sum is σ = 3342684573696. Its totient is φ = 1148922327168.

The previous prime is 2102120420237. The next prime is 2102120420261. The reversal of 2102120420253 is 3520240212012.

It is not a de Polignac number, because 2102120420253 - 2⁴ = 2102120420237 is a prime.

It is a super-2 number, since 2×2102120420253² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102120420053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9547776 + ... + 9765462.

It is an arithmetic number, because the mean of its divisors is an integer number (104458892928).

Almost surely, 2^{2102120420253} is an apocalyptic number.

2102120420253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2102120420253 is a deficient number, since it is larger than the sum of its proper divisors (1240564153443).

2102120420253 is a wasteful number, since it uses less digits than its factorization.

2102120420253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237713.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2102120420253 its reverse (3520240212012), we get a palindrome (5622360632265).

The spelling of 2102120420253 in words is "two trillion, one hundred two billion, one hundred twenty million, four hundred twenty thousand, two hundred fifty-three".