10002121011122 has 24 divisors (see below), whose sum is σ = 15881369393916. Its totient is φ = 4723787787264.

The previous prime is 10002121011061. The next prime is 10002121011139. The reversal of 10002121011122 is 22111012120001.

It can be written as a sum of positive squares in 2 ways, for example, as 8520274940401 + 1481846070721 = 2918951^2 + 1217311^2 .

It is a super-2 number, since 2×10002121011122² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002121011097 and 10002121011106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20310623 + ... + 20797250.

Almost surely, 2^{10002121011122} is an apocalyptic number.

10002121011122 is a deficient number, since it is larger than the sum of its proper divisors (5879248382794).

10002121011122 is a wasteful number, since it uses less digits than its factorization.

10002121011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41108250 (or 41108231 counting only the distinct ones).

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

Adding to 10002121011122 its reverse (22111012120001), we get a palindrome (32113133131123).

The spelling of 10002121011122 in words is "ten trillion, two billion, one hundred twenty-one million, eleven thousand, one hundred twenty-two".