101211222112101 has 12 divisors (see below), whose sum is σ = 146194118253612. Its totient is φ = 67474087724736.

The previous prime is 101211222112079. The next prime is 101211222112123.

It is a happy number.

101211222112101 is a `hidden beast` number, since 1 + 0 + 121 + 122 + 211 + 210 + 1 = 666.

101211222112101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (101211222112079) and next prime (101211222112123).

It can be written as a sum of positive squares in 2 ways, for example, as 23916002379201 + 77295219732900 = 4890399^2 + 8791770^2 .

It is not a de Polignac number, because 101211222112101 - 2⁷ = 101211222111973 is a prime.

It is a super-2 number, since 2×101211222112101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211222116101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7142775 + ... + 15919851.

It is an arithmetic number, because the mean of its divisors is an integer number (12182843187801).

Almost surely, 2^{101211222112101} is an apocalyptic number.

It is an amenable number.

101211222112101 is a deficient number, since it is larger than the sum of its proper divisors (44982896141511).

101211222112101 is a wasteful number, since it uses less digits than its factorization.

101211222112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058340 (or 10058337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 101211222112101 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".