101010021102211 has 16 divisors (see below), whose sum is σ = 108824135067648. Its totient is φ = 93202214666400.

The previous prime is 101010021102209. The next prime is 101010021102253. The reversal of 101010021102211 is 112201120010101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101010021102211 - 2¹ = 101010021102209 is a prime.

It is a super-2 number, since 2×101010021102211² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101010021102191 and 101010021102200.

It is not an unprimeable number, because it can be changed into a prime (101010021102611) 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, 445825446 + ... + 446051956.

It is an arithmetic number, because the mean of its divisors is an integer number (6801508441728).

Almost surely, 2^{101010021102211} is an apocalyptic number.

101010021102211 is a deficient number, since it is larger than the sum of its proper divisors (7814113965437).

101010021102211 is a wasteful number, since it uses less digits than its factorization.

101010021102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240282.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101010021102211 its reverse (112201120010101), we get a palindrome (213211141112312).

The spelling of 101010021102211 in words is "one hundred one trillion, ten billion, twenty-one million, one hundred two thousand, two hundred eleven".