101002101022211 has 32 divisors (see below), whose sum is σ = 105742912665600. Its totient is φ = 96392375986816.

The previous prime is 101002101022189. The next prime is 101002101022253. The reversal of 101002101022211 is 112220101200101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002101022211 is a prime.

It is a super-2 number, since 2×101002101022211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002101022111) 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, 3488952365 + ... + 3488981313.

It is an arithmetic number, because the mean of its divisors is an integer number (3304466020800).

Almost surely, 2^{101002101022211} is an apocalyptic number.

101002101022211 is a deficient number, since it is larger than the sum of its proper divisors (4740811643389).

101002101022211 is a wasteful number, since it uses less digits than its factorization.

101002101022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37603.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002101022211 its reverse (112220101200101), we get a palindrome (213222202222312).

The spelling of 101002101022211 in words is "one hundred one trillion, two billion, one hundred one million, twenty-two thousand, two hundred eleven".