2101001010100 has 72 divisors (see below), whose sum is σ = 4586369648000. Its totient is φ = 835398748800.

The previous prime is 2101001010079. The next prime is 2101001010103. The reversal of 2101001010100 is 10101001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101001010103) 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, 14377201 + ... + 14522599.

Almost surely, 2^{2101001010100} is an apocalyptic number.

2101001010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101001010100 is an abundant number, since it is smaller than the sum of its proper divisors (2485368637900).

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

2101001010100 is a wasteful number, since it uses less digits than its factorization.

2101001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146273 (or 146266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2101001010100 its reverse (10101001012), we get a palindrome (2111102011112).

The spelling of 2101001010100 in words is "two trillion, one hundred one billion, one million, ten thousand, one hundred".