101210020102191 has 256 divisors, whose sum is σ = 196110152663040. Its totient is φ = 44700918958080.

The previous prime is 101210020102181. The next prime is 101210020102259. The reversal of 101210020102191 is 191201020012101.

It is not a de Polignac number, because 101210020102191 - 2⁶ = 101210020102127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210020102151) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 747051640 + ... + 747187106.

It is an arithmetic number, because the mean of its divisors is an integer number (766055283840).

Almost surely, 2^{101210020102191} is an apocalyptic number.

101210020102191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101210020102191 is a deficient number, since it is larger than the sum of its proper divisors (94900132560849).

101210020102191 is a wasteful number, since it uses less digits than its factorization.

101210020102191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135926.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 101210020102191 its reverse (191201020012101), we get a palindrome (292411040114292).

The spelling of 101210020102191 in words is "one hundred one trillion, two hundred ten billion, twenty million, one hundred two thousand, one hundred ninety-one".