10210102100121 has 96 divisors (see below), whose sum is σ = 17239190031360. Its totient is φ = 5221498464000.

The previous prime is 10210102100087. The next prime is 10210102100147. The reversal of 10210102100121 is 12100120101201.

It is not a de Polignac number, because 10210102100121 - 2⁴¹ = 8011078844569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210102100097 and 10210102100106.

It is not an unprimeable number, because it can be changed into a prime (10210102100021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620628946 + ... + 620645396.

It is an arithmetic number, because the mean of its divisors is an integer number (179574896160).

Almost surely, 2^{10210102100121} is an apocalyptic number.

10210102100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210102100121 is a deficient number, since it is larger than the sum of its proper divisors (7029087931239).

10210102100121 is a wasteful number, since it uses less digits than its factorization.

10210102100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16895 (or 16738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210102100121 its reverse (12100120101201), we get a palindrome (22310222201322).

The spelling of 10210102100121 in words is "ten trillion, two hundred ten billion, one hundred two million, one hundred thousand, one hundred twenty-one".