101210111101001 has 64 divisors (see below), whose sum is σ = 127544167296000. Its totient is φ = 80032674129408.

The previous prime is 101210111100991. The next prime is 101210111101061. The reversal of 101210111101001 is 100101111012101.

It is a happy number.

It is not a de Polignac number, because 101210111101001 - 2¹⁴ = 101210111084617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101210111101061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214131731 + ... + 214603863.

It is an arithmetic number, because the mean of its divisors is an integer number (1992877614000).

Almost surely, 2^{101210111101001} is an apocalyptic number.

It is an amenable number.

101210111101001 is a deficient number, since it is larger than the sum of its proper divisors (26334056194999).

101210111101001 is an equidigital number, since it uses as much as digits as its factorization.

101210111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473143 (or 473129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101210111101001 its reverse (100101111012101), we get a palindrome (201311222113102).

The spelling of 101210111101001 in words is "one hundred one trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, one".