10100212001029 has 2 divisors, whose sum is σ = 10100212001030. Its totient is φ = 10100212001028.

The previous prime is 10100212001003. The next prime is 10100212001147. The reversal of 10100212001029 is 92010021200101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6191149192804 + 3909062808225 = 2488202^2 + 1977135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100212001029 - 2⁵ = 10100212000997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100212000997 and 10100212001015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100252001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050106000514 + 5050106000515.

It is an arithmetic number, because the mean of its divisors is an integer number (5050106000515).

Almost surely, 2^{10100212001029} is an apocalyptic number.

It is an amenable number.

10100212001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100212001029 is an equidigital number, since it uses as much as digits as its factorization.

10100212001029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10100212001029 in words is "ten trillion, one hundred billion, two hundred twelve million, one thousand, twenty-nine".