1002121001010 has 40 divisors (see below), whose sum is σ = 2694592027116. Its totient is φ = 267232266720.

The previous prime is 1002121000987. The next prime is 1002121001017. The reversal of 1002121001010 is 101001212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 968037564321 + 34083436689 = 983889^2 + 184617^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002121000983 and 1002121001001.

It is not an unprimeable number, because it can be changed into a prime (1002121001017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 618592401 + ... + 618594020.

Almost surely, 2^{1002121001010} is an apocalyptic number.

1002121001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002121001010 is an abundant number, since it is smaller than the sum of its proper divisors (1692471026106).

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

1002121001010 is a wasteful number, since it uses less digits than its factorization.

1002121001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237186440 (or 1237186431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002121001010 its reverse (101001212001), we get a palindrome (1103122213011).

The spelling of 1002121001010 in words is "one trillion, two billion, one hundred twenty-one million, one thousand, ten".