2100100021101 has 32 divisors (see below), whose sum is σ = 3236138864640. Its totient is φ = 1344560396400.

The previous prime is 2100100021099. The next prime is 2100100021207. The reversal of 2100100021101 is 1011200010012.

It is a happy number.

It is not a de Polignac number, because 2100100021101 - 2¹ = 2100100021099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100021301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9466995 + ... + 9686288.

It is an arithmetic number, because the mean of its divisors is an integer number (101129339520).

Almost surely, 2^{2100100021101} is an apocalyptic number.

It is an amenable number.

2100100021101 is a deficient number, since it is larger than the sum of its proper divisors (1136038843539).

2100100021101 is a wasteful number, since it uses less digits than its factorization.

2100100021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19153454 (or 19153448 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100100021101 its reverse (1011200010012), we get a palindrome (3111300031113).

The spelling of 2100100021101 in words is "two trillion, one hundred billion, one hundred million, twenty-one thousand, one hundred one".