2100121202101 has 16 divisors (see below), whose sum is σ = 2270387176960. Its totient is φ = 1931103037440.

The previous prime is 2100121202077. The next prime is 2100121202107. The reversal of 2100121202101 is 1012021210012.

It is a cyclic number.

It is not a de Polignac number, because 2100121202101 - 2¹⁷ = 2100121071029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121202107) 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, 22956016 + ... + 23047318.

It is an arithmetic number, because the mean of its divisors is an integer number (141899198560).

Almost surely, 2^{2100121202101} is an apocalyptic number.

It is an amenable number.

2100121202101 is a deficient number, since it is larger than the sum of its proper divisors (170265974859).

2100121202101 is a wasteful number, since it uses less digits than its factorization.

2100121202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98116.

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

Adding to 2100121202101 its reverse (1012021210012), we get a palindrome (3112142412113).

The spelling of 2100121202101 in words is "two trillion, one hundred billion, one hundred twenty-one million, two hundred two thousand, one hundred one".