10112002120101 has 32 divisors (see below), whose sum is σ = 15509648293888. Its totient is φ = 5740562171520.

The previous prime is 10112002120067. The next prime is 10112002120141. The reversal of 10112002120101 is 10102120021101.

It is not a de Polignac number, because 10112002120101 - 2⁶ = 10112002120037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112002120141) 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, 63681 + ... + 4497561.

It is an arithmetic number, because the mean of its divisors is an integer number (484676509184).

Almost surely, 2^{10112002120101} is an apocalyptic number.

It is an amenable number.

10112002120101 is a deficient number, since it is larger than the sum of its proper divisors (5397646173787).

10112002120101 is a wasteful number, since it uses less digits than its factorization.

10112002120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434601.

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

Adding to 10112002120101 its reverse (10102120021101), we get a palindrome (20214122141202).

The spelling of 10112002120101 in words is "ten trillion, one hundred twelve billion, two million, one hundred twenty thousand, one hundred one".