100222010002191 has 16 divisors (see below), whose sum is σ = 166602821822208. Its totient is φ = 52063381819200.

The previous prime is 100222010002133. The next prime is 100222010002271. The reversal of 100222010002191 is 191200010222001.

It is not a de Polignac number, because 100222010002191 - 2⁹ = 100222010001679 is a prime.

It is a super-4 number, since 4×100222010002191⁴ (a number of 57 digits) contains 4444 as substring.

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 (100222010002291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216930757350 + ... + 216930757811.

It is an arithmetic number, because the mean of its divisors is an integer number (10412676363888).

Almost surely, 2^{100222010002191} is an apocalyptic number.

100222010002191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100222010002191 is a deficient number, since it is larger than the sum of its proper divisors (66380811820017).

100222010002191 is a wasteful number, since it uses less digits than its factorization.

100222010002191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433861515182.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 100222010002191 its reverse (191200010222001), we get a palindrome (291422020224192).

The spelling of 100222010002191 in words is "one hundred trillion, two hundred twenty-two billion, ten million, two thousand, one hundred ninety-one".