10102100212121 has 16 divisors (see below), whose sum is σ = 10468094427648. Its totient is φ = 9738656112000.

The previous prime is 10102100212103. The next prime is 10102100212129. The reversal of 10102100212121 is 12121200120101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102100212121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102100212096 and 10102100212105.

It is not an unprimeable number, because it can be changed into a prime (10102100212129) 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, 13904741 + ... + 14613213.

It is an arithmetic number, because the mean of its divisors is an integer number (654255901728).

Almost surely, 2^{10102100212121} is an apocalyptic number.

It is an amenable number.

10102100212121 is a deficient number, since it is larger than the sum of its proper divisors (365994215527).

10102100212121 is a wasteful number, since it uses less digits than its factorization.

10102100212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710272.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102100212121 its reverse (12121200120101), we get a palindrome (22223300332222).

The spelling of 10102100212121 in words is "ten trillion, one hundred two billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".