1020011212001 has 2 divisors, whose sum is σ = 1020011212002. Its totient is φ = 1020011212000.

The previous prime is 1020011211953. The next prime is 1020011212049. The reversal of 1020011212001 is 1002121100201.

It is a balanced prime because it is at equal distance from previous prime (1020011211953) and next prime (1020011212049).

It can be written as a sum of positive squares in only one way, i.e., 974516454976 + 45494757025 = 987176^2 + 213295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020011212001 - 2³⁸ = 745133305057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020011212081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510005606000 + 510005606001.

It is an arithmetic number, because the mean of its divisors is an integer number (510005606001).

Almost surely, 2^{1020011212001} is an apocalyptic number.

It is an amenable number.

1020011212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020011212001 is an equidigital number, since it uses as much as digits as its factorization.

1020011212001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020011212001 its reverse (1002121100201), we get a palindrome (2022132312202).

The spelling of 1020011212001 in words is "one trillion, twenty billion, eleven million, two hundred twelve thousand, one".