101220001122101 has 8 divisors (see below), whose sum is σ = 102621283399704. Its totient is φ = 99819116328960.

The previous prime is 101220001122049. The next prime is 101220001122113. The reversal of 101220001122101 is 101221100022101.

It can be written as a sum of positive squares in 4 ways, for example, as 12753655143076 + 88466345979025 = 3571226^2 + 9405655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101220001122101 is a prime.

It is a super-2 number, since 2×101220001122101² (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 (101220001122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98858270 + ... + 99876911.

It is an arithmetic number, because the mean of its divisors is an integer number (12827660424963).

Almost surely, 2^{101220001122101} is an apocalyptic number.

It is an amenable number.

101220001122101 is a deficient number, since it is larger than the sum of its proper divisors (1401282277603).

101220001122101 is an equidigital number, since it uses as much as digits as its factorization.

101220001122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198742231.

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

Adding to 101220001122101 its reverse (101221100022101), we get a palindrome (202441101144202).

The spelling of 101220001122101 in words is "one hundred one trillion, two hundred twenty billion, one million, one hundred twenty-two thousand, one hundred one".