2102100101000 has 64 divisors (see below), whose sum is σ = 4926565687680. Its totient is φ = 839532100800.

The previous prime is 2102100100967. The next prime is 2102100101009. The reversal of 2102100101000 is 1010012012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2102100101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991604 + ... + 2277603.

It is an arithmetic number, because the mean of its divisors is an integer number (76977588870).

Almost surely, 2^{2102100101000} is an apocalyptic number.

2102100101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100101000 is an abundant number, since it is smaller than the sum of its proper divisors (2824465586680).

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

2102100101000 is a wasteful number, since it uses less digits than its factorization.

2102100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269871 (or 3269857 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2102100101000 its reverse (1010012012), we get a palindrome (2103110113012).

The spelling of 2102100101000 in words is "two trillion, one hundred two billion, one hundred million, one hundred one thousand".