2101303112100 has 72 divisors (see below), whose sum is σ = 6081359830560. Its totient is φ = 560200999680.

The previous prime is 2101303112099. The next prime is 2101303112131. The reversal of 2101303112100 is 12113031012.

It is a happy number.

It is a super-2 number, since 2×2101303112100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101303112100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236211 + ... + 2063589.

It is an arithmetic number, because the mean of its divisors is an integer number (84463330980).

Almost surely, 2^{2101303112100} is an apocalyptic number.

2101303112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101303112100 is an abundant number, since it is smaller than the sum of its proper divisors (3980056718460).

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

2101303112100 is a wasteful number, since it uses less digits than its factorization.

2101303112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831229 (or 1831222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2101303112100 its reverse (12113031012), we get a palindrome (2113416143112).

The spelling of 2101303112100 in words is "two trillion, one hundred one billion, three hundred three million, one hundred twelve thousand, one hundred".