10121122000 has 80 divisors (see below), whose sum is σ = 26697737664. Its totient is φ = 3680400000.

The previous prime is 10121121991. The next prime is 10121122001. The reversal of 10121122000 is 22112101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10121122000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121122001) 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, 208026 + ... + 252025.

Almost surely, 2^10121122000 is an apocalyptic number.

10121122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121122000 is an abundant number, since it is smaller than the sum of its proper divisors (16576615664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121122000 is a wasteful number, since it uses less digits than its factorization.

10121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460085 (or 460069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121122000 its reverse (22112101), we get a palindrome (10143234101).

The spelling of 10121122000 in words is "ten billion, one hundred twenty-one million, one hundred twenty-two thousand".