1002121999957 has 8 divisors (see below), whose sum is σ = 1116422387640. Its totient is φ = 893137909440.

The previous prime is 1002121999919. The next prime is 1002122000003. The reversal of 1002121999957 is 7599991212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 177296576356 + 824825423601 = 421066^2 + 908199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002121999957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002121999898 and 1002121999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121999457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329073894 + ... + 1329074647.

It is an arithmetic number, because the mean of its divisors is an integer number (139552798455).

Almost surely, 2^{1002121999957} is an apocalyptic number.

It is an amenable number.

1002121999957 is a deficient number, since it is larger than the sum of its proper divisors (114300387683).

1002121999957 is a wasteful number, since it uses less digits than its factorization.

1002121999957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658148583.

The product of its (nonzero) digits is 918540, while the sum is 55.

The spelling of 1002121999957 in words is "one trillion, two billion, one hundred twenty-one million, nine hundred ninety-nine thousand, nine hundred fifty-seven".