2122112001029 has 2 divisors, whose sum is σ = 2122112001030. Its totient is φ = 2122112001028.

The previous prime is 2122112000999. The next prime is 2122112001049. The reversal of 2122112001029 is 9201002112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1194353908225 + 927758092804 = 1092865^2 + 963202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122112001029 - 2⁸ = 2122112000773 is a prime.

It is a super-2 number, since 2×2122112001029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122112000995 and 2122112001013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122112001049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061056000514 + 1061056000515.

It is an arithmetic number, because the mean of its divisors is an integer number (1061056000515).

Almost surely, 2^{2122112001029} is an apocalyptic number.

It is an amenable number.

2122112001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122112001029 is an equidigital number, since it uses as much as digits as its factorization.

2122112001029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 2122112001029 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, twenty-nine".