101040400919 has 2 divisors, whose sum is σ = 101040400920. Its totient is φ = 101040400918.

The previous prime is 101040400883. The next prime is 101040400931. The reversal of 101040400919 is 919004040101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101040400919 - 2²⁴ = 101023623703 is a prime.

It is a super-2 number, since 2×101040400919² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101040400891 and 101040400900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101040400319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520200459 + 50520200460.

It is an arithmetic number, because the mean of its divisors is an integer number (50520200460).

Almost surely, 2^101040400919 is an apocalyptic number.

101040400919 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040400919 is an equidigital number, since it uses as much as digits as its factorization.

101040400919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 101040400919 in words is "one hundred one billion, forty million, four hundred thousand, nine hundred nineteen".