101010211112101 has 4 divisors (see below), whose sum is σ = 103473874797804. Its totient is φ = 98546547426400.

The previous prime is 101010211112089. The next prime is 101010211112113. The reversal of 101010211112101 is 101211112010101.

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

It is an interprime number because it is at equal distance from previous prime (101010211112089) and next prime (101010211112113).

It can be written as a sum of positive squares in 2 ways, for example, as 24505975023201 + 76504236088900 = 4950351^2 + 8746670^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010211112101 - 2¹⁹ = 101010210587813 is a prime.

It is a super-2 number, since 2×101010211112101² (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 (101010211152101) 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, 1231831842790 + ... + 1231831842871.

It is an arithmetic number, because the mean of its divisors is an integer number (25868468699451).

Almost surely, 2^{101010211112101} is an apocalyptic number.

It is an amenable number.

101010211112101 is a deficient number, since it is larger than the sum of its proper divisors (2463663685703).

101010211112101 is an equidigital number, since it uses as much as digits as its factorization.

101010211112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463663685702.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101010211112101 its reverse (101211112010101), we get a palindrome (202221323122202).

The spelling of 101010211112101 in words is "one hundred one trillion, ten billion, two hundred eleven million, one hundred twelve thousand, one hundred one".