122112001000101 has 32 divisors (see below), whose sum is σ = 194270001666048. Its totient is φ = 66708582431040.

The previous prime is 122112001000079. The next prime is 122112001000117. The reversal of 122112001000101 is 101000100211221.

It is not a de Polignac number, because 122112001000101 - 2⁷ = 122112000999973 is a prime.

It is a super-2 number, since 2×122112001000101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112001000181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67026951 + ... + 68824676.

It is an arithmetic number, because the mean of its divisors is an integer number (6070937552064).

Almost surely, 2^{122112001000101} is an apocalyptic number.

It is an amenable number.

122112001000101 is a deficient number, since it is larger than the sum of its proper divisors (72158000665947).

122112001000101 is a wasteful number, since it uses less digits than its factorization.

122112001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135853521.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122112001000101 its reverse (101000100211221), we get a palindrome (223112101211322).

The spelling of 122112001000101 in words is "one hundred twenty-two trillion, one hundred twelve billion, one million, one hundred one", and thus it is an aban number.