122211010102101 has 8 divisors (see below), whose sum is σ = 165010646551680. Its totient is φ = 80442690193632.

The previous prime is 122211010102081. The next prime is 122211010102109. The reversal of 122211010102101 is 101201010112221.

It is a happy number.

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

It is not a de Polignac number, because 122211010102101 - 2¹⁵ = 122211010069333 is a prime.

It is a super-2 number, since 2×122211010102101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211010102109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257829135000 + ... + 257829135473.

It is an arithmetic number, because the mean of its divisors is an integer number (20626330818960).

Almost surely, 2^{122211010102101} is an apocalyptic number.

It is an amenable number.

122211010102101 is a deficient number, since it is larger than the sum of its proper divisors (42799636449579).

122211010102101 is an equidigital number, since it uses as much as digits as its factorization.

122211010102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515658270555.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122211010102101 its reverse (101201010112221), we get a palindrome (223412020214322).

The spelling of 122211010102101 in words is "one hundred twenty-two trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred one".