2102020022102 has 384 divisors, whose sum is σ = 4740313052160. Its totient is φ = 684833909760.

The previous prime is 2102020022101. The next prime is 2102020022129. The reversal of 2102020022102 is 2012200202012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102020022101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495406793 + ... + 495411035.

It is an arithmetic number, because the mean of its divisors is an integer number (12344565240).

Almost surely, 2^{2102020022102} is an apocalyptic number.

2102020022102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102020022102 is an abundant number, since it is smaller than the sum of its proper divisors (2638293030058).

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

2102020022102 is a wasteful number, since it uses less digits than its factorization.

2102020022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102020022102 its reverse (2012200202012), we get a palindrome (4114220224114).

The spelling of 2102020022102 in words is "two trillion, one hundred two billion, twenty million, twenty-two thousand, one hundred two".