10001210012101 has 32 divisors (see below), whose sum is σ = 12494784411648. Its totient is φ = 7777074824640.

The previous prime is 10001210012089. The next prime is 10001210012107. The reversal of 10001210012101 is 10121001210001.

It is not a de Polignac number, because 10001210012101 - 2¹⁵ = 10001209979333 is a prime.

It is a super-2 number, since 2×10001210012101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001210012107) 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, 88980400 + ... + 89092726.

It is an arithmetic number, because the mean of its divisors is an integer number (390462012864).

Almost surely, 2^{10001210012101} is an apocalyptic number.

10001210012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001210012101 is a deficient number, since it is larger than the sum of its proper divisors (2493574399547).

10001210012101 is a wasteful number, since it uses less digits than its factorization.

10001210012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114721.

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

Adding to 10001210012101 its reverse (10121001210001), we get a palindrome (20122211222102).

The spelling of 10001210012101 in words is "ten trillion, one billion, two hundred ten million, twelve thousand, one hundred one".