2101202102101 has 24 divisors (see below), whose sum is σ = 2309013547776. Its totient is φ = 1909706472960.

The previous prime is 2101202102057. The next prime is 2101202102113. The reversal of 2101202102101 is 1012012021012.

It is not a de Polignac number, because 2101202102101 - 2¹³ = 2101202093909 is a prime.

It is a super-2 number, since 2×2101202102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101202102191) 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, 3932745 + ... + 4434961.

It is an arithmetic number, because the mean of its divisors is an integer number (96208897824).

Almost surely, 2^{2101202102101} is an apocalyptic number.

It is an amenable number.

2101202102101 is a deficient number, since it is larger than the sum of its proper divisors (207811445675).

2101202102101 is a wasteful number, since it uses less digits than its factorization.

2101202102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502749 (or 502732 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2101202102101 its reverse (1012012021012), we get a palindrome (3113214123113).

The spelling of 2101202102101 in words is "two trillion, one hundred one billion, two hundred two million, one hundred two thousand, one hundred one".