10112001121002 has 64 divisors (see below), whose sum is σ = 22107400704000. Its totient is φ = 3058014643200.

The previous prime is 10112001120997. The next prime is 10112001121007. The reversal of 10112001121002 is 20012110021101.

It is an interprime number because it is at equal distance from previous prime (10112001120997) and next prime (10112001121007).

It is a super-2 number, since 2×10112001121002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112001121007) 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, 457317927 + ... + 457340037.

It is an arithmetic number, because the mean of its divisors is an integer number (345428136000).

Almost surely, 2^{10112001121002} is an apocalyptic number.

10112001121002 is an abundant number, since it is smaller than the sum of its proper divisors (11995399582998).

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

10112001121002 is a wasteful number, since it uses less digits than its factorization.

10112001121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35899.

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

Adding to 10112001121002 its reverse (20012110021101), we get a palindrome (30124111142103).

The spelling of 10112001121002 in words is "ten trillion, one hundred twelve billion, one million, one hundred twenty-one thousand, two".