101211222101 has 6 divisors (see below), whose sum is σ = 111248698806. Its totient is φ = 92010201800.

The previous prime is 101211222097. The next prime is 101211222121. The reversal of 101211222101 is 101222112101.

It can be written as a sum of positive squares in only one way, i.e., 56930437201 + 44280784900 = 238601^2 + 210430^2 .

It is not a de Polignac number, because 101211222101 - 2² = 101211222097 is a prime.

It is a super-2 number, since 2×101211222101² (a number of 23 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 (101211222121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418228070 + ... + 418228311.

It is an arithmetic number, because the mean of its divisors is an integer number (18541449801).

Almost surely, 2^101211222101 is an apocalyptic number.

101211222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211222101 is a deficient number, since it is larger than the sum of its proper divisors (10037476705).

101211222101 is an equidigital number, since it uses as much as digits as its factorization.

101211222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836456403 (or 836456392 counting only the distinct ones).

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

Adding to 101211222101 its reverse (101222112101), we get a palindrome (202433334202).

Subtracting 101211222101 from its reverse (101222112101), we obtain a square (10890000 = 3300²).

The spelling of 101211222101 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".