10012100201101 has 8 divisors (see below), whose sum is σ = 10601416508544. Its totient is φ = 9422824920000.

The previous prime is 10012100201069. The next prime is 10012100201143. The reversal of 10012100201101 is 10110200121001.

10012100201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10012100201101 - 2⁵ = 10012100201069 is a prime.

It is a super-2 number, since 2×10012100201101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012100201801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9753435 + ... + 10730968.

It is an arithmetic number, because the mean of its divisors is an integer number (1325177063568).

Almost surely, 2^{10012100201101} is an apocalyptic number.

It is an amenable number.

10012100201101 is a deficient number, since it is larger than the sum of its proper divisors (589316307443).

10012100201101 is a wasteful number, since it uses less digits than its factorization.

10012100201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513171.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10012100201101 its reverse (10110200121001), we get a palindrome (20122300322102).

The spelling of 10012100201101 in words is "ten trillion, twelve billion, one hundred million, two hundred one thousand, one hundred one".