2101210022100 has 144 divisors (see below), whose sum is σ = 6948877493376. Its totient is φ = 480216000000.

The previous prime is 2101210022081. The next prime is 2101210022101. The reversal of 2101210022100 is 12200121012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101210022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17793250 + ... + 17910950.

It is an arithmetic number, because the mean of its divisors is an integer number (48256093704).

Almost surely, 2^{2101210022100} is an apocalyptic number.

2101210022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101210022100 is an abundant number, since it is smaller than the sum of its proper divisors (4847667471276).

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

2101210022100 is a wasteful number, since it uses less digits than its factorization.

2101210022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126226 (or 126219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101210022100 its reverse (12200121012), we get a palindrome (2113410143112).

The spelling of 2101210022100 in words is "two trillion, one hundred one billion, two hundred ten million, twenty-two thousand, one hundred".