2100102120101 has 8 divisors (see below), whose sum is σ = 2105185682208. Its totient is φ = 2095019010000.

The previous prime is 2100102120047. The next prime is 2100102120143. The reversal of 2100102120101 is 1010212010012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100102120101 - 2⁶ = 2100102120037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100102125101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10361906 + ... + 10562636.

It is an arithmetic number, because the mean of its divisors is an integer number (263148210276).

Almost surely, 2^{2100102120101} is an apocalyptic number.

It is an amenable number.

2100102120101 is a deficient number, since it is larger than the sum of its proper divisors (5083562107).

2100102120101 is a wasteful number, since it uses less digits than its factorization.

2100102120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226003.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100102120101 its reverse (1010212010012), we get a palindrome (3110314130113).

The spelling of 2100102120101 in words is "two trillion, one hundred billion, one hundred two million, one hundred twenty thousand, one hundred one".