10100212201121 has 16 divisors (see below), whose sum is σ = 11981892384000. Its totient is φ = 8330267940288.

The previous prime is 10100212201117. The next prime is 10100212201201. The reversal of 10100212201121 is 12110221200101.

It is not a de Polignac number, because 10100212201121 - 2² = 10100212201117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100212201096 and 10100212201105.

It is not an unprimeable number, because it can be changed into a prime (10100212201111) 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, 84846221 + ... + 84965178.

It is an arithmetic number, because the mean of its divisors is an integer number (748868274000).

Almost surely, 2^{10100212201121} is an apocalyptic number.

It is an amenable number.

10100212201121 is a deficient number, since it is larger than the sum of its proper divisors (1881680182879).

10100212201121 is a wasteful number, since it uses less digits than its factorization.

10100212201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169811728.

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

Adding to 10100212201121 its reverse (12110221200101), we get a palindrome (22210433401222).

The spelling of 10100212201121 in words is "ten trillion, one hundred billion, two hundred twelve million, two hundred one thousand, one hundred twenty-one".