1002101009976 has 192 divisors, whose sum is σ = 2985313968000. Its totient is φ = 301152741120.

The previous prime is 1002101009953. The next prime is 1002101009977. The reversal of 1002101009976 is 6799001012001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1002101009976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002101009977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112175206 + ... + 112184138.

It is an arithmetic number, because the mean of its divisors is an integer number (15548510250).

Almost surely, 2^{1002101009976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002101009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492656984000).

1002101009976 is an abundant number, since it is smaller than the sum of its proper divisors (1983212958024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002101009976 is a wasteful number, since it uses less digits than its factorization.

1002101009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 1002101009976 in words is "one trillion, two billion, one hundred one million, nine thousand, nine hundred seventy-six".