2102012022100 has 72 divisors (see below), whose sum is σ = 4577288159808. Its totient is φ = 837871372800.

The previous prime is 2102012022079. The next prime is 2102012022107. The reversal of 2102012022100 is 12202102012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012022107) 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, 155088924 + ... + 155102476.

It is an arithmetic number, because the mean of its divisors is an integer number (63573446664).

Almost surely, 2^{2102012022100} is an apocalyptic number.

2102012022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102012022100 is an abundant number, since it is smaller than the sum of its proper divisors (2475276137708).

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

2102012022100 is a wasteful number, since it uses less digits than its factorization.

2102012022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18865 (or 18858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102012022100 its reverse (12202102012), we get a palindrome (2114214124112).

The spelling of 2102012022100 in words is "two trillion, one hundred two billion, twelve million, twenty-two thousand, one hundred".