769991021101001 has 6 divisors (see below), whose sum is σ = 895703840872650. Its totient is φ = 659992303800816.

The previous prime is 769991021100929. The next prime is 769991021101039. The reversal of 769991021101001 is 100101120199967.

It can be written as a sum of positive squares in only one way, i.e., 486050322809401 + 283940698291600 = 22046549^2 + 16850540^2 .

It is not a de Polignac number, because 769991021101001 - 2¹⁴ = 769991021084617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (769991021181001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7857051235676 + ... + 7857051235773.

It is an arithmetic number, because the mean of its divisors is an integer number (149283973478775).

Almost surely, 2^{769991021101001} is an apocalyptic number.

It is an amenable number.

769991021101001 is a deficient number, since it is larger than the sum of its proper divisors (125712819771649).

769991021101001 is a wasteful number, since it uses less digits than its factorization.

769991021101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15714102471463 (or 15714102471456 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 47.

The spelling of 769991021101001 in words is "seven hundred sixty-nine trillion, nine hundred ninety-one billion, twenty-one million, one hundred one thousand, one".