101000212210001 has 32 divisors (see below), whose sum is σ = 109283972598528. Its totient is φ = 92790949213440.

The previous prime is 101000212209991. The next prime is 101000212210021. The reversal of 101000212210001 is 100012212000101.

It is a cyclic number.

It is not a de Polignac number, because 101000212210001 - 2³⁸ = 100725334303057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000212210021) 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, 13336878851 + ... + 13336886423.

It is an arithmetic number, because the mean of its divisors is an integer number (3415124143704).

Almost surely, 2^{101000212210001} is an apocalyptic number.

It is an amenable number.

101000212210001 is a deficient number, since it is larger than the sum of its proper divisors (8283760388527).

101000212210001 is a wasteful number, since it uses less digits than its factorization.

101000212210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101000212210001 its reverse (100012212000101), we get a palindrome (201012424210102).

The spelling of 101000212210001 in words is "one hundred one trillion, two hundred twelve million, two hundred ten thousand, one".