10010200112121 has 32 divisors (see below), whose sum is σ = 15457456627200. Its totient is φ = 5694852199680.

The previous prime is 10010200112089. The next prime is 10010200112167. The reversal of 10010200112121 is 12121100201001.

It is not a de Polignac number, because 10010200112121 - 2⁵ = 10010200112089 is a prime.

It is a super-2 number, since 2×10010200112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010200112097 and 10010200112106.

It is not an unprimeable number, because it can be changed into a prime (10010200102121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23327611 + ... + 23752848.

It is an arithmetic number, because the mean of its divisors is an integer number (483045519600).

Almost surely, 2^{10010200112121} is an apocalyptic number.

10010200112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010200112121 is a deficient number, since it is larger than the sum of its proper divisors (5447256515079).

10010200112121 is a wasteful number, since it uses less digits than its factorization.

10010200112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47080869.

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

Adding to 10010200112121 its reverse (12121100201001), we get a palindrome (22131300313122).

The spelling of 10010200112121 in words is "ten trillion, ten billion, two hundred million, one hundred twelve thousand, one hundred twenty-one".