101211020112101 has 4 divisors (see below), whose sum is σ = 101212906565772. Its totient is φ = 101209133658432.

The previous prime is 101211020112073. The next prime is 101211020112113.

101211020112101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56133210684100 + 45077809428001 = 7492210^2 + 6714001^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211020112101 - 2³⁰ = 101209946370277 is a prime.

It is a super-2 number, since 2×101211020112101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211020112401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 943146356 + ... + 943253661.

It is an arithmetic number, because the mean of its divisors is an integer number (25303226641443).

Almost surely, 2^{101211020112101} is an apocalyptic number.

It is an amenable number.

101211020112101 is a deficient number, since it is larger than the sum of its proper divisors (1886453671).

101211020112101 is an equidigital number, since it uses as much as digits as its factorization.

101211020112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886453670.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 101211020112101 in words is "one hundred one trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred one".