10010111012121 has 48 divisors (see below), whose sum is σ = 14848520363712. Its totient is φ = 5948329104000.

The previous prime is 10010111012059. The next prime is 10010111012201. The reversal of 10010111012121 is 12121011101001.

It is not a de Polignac number, because 10010111012121 - 2⁹ = 10010111011609 is a prime.

It is a super-2 number, since 2×10010111012121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010111012097 and 10010111012106.

It is not an unprimeable number, because it can be changed into a prime (10010111012221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35218251 + ... + 35501343.

It is an arithmetic number, because the mean of its divisors is an integer number (309344174244).

Almost surely, 2^{10010111012121} is an apocalyptic number.

10010111012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010111012121 is a deficient number, since it is larger than the sum of its proper divisors (4838409351591).

10010111012121 is a wasteful number, since it uses less digits than its factorization.

10010111012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283414 (or 283311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10010111012121 its reverse (12121011101001), we get a palindrome (22131122113122).

The spelling of 10010111012121 in words is "ten trillion, ten billion, one hundred eleven million, twelve thousand, one hundred twenty-one".