1000102121010 has 96 divisors (see below), whose sum is σ = 2755149649200. Its totient is φ = 250830311424.

The previous prime is 1000102120981. The next prime is 1000102121021. The reversal of 1000102121010 is 101212010001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 905993674569 + 94108446441 = 951837^2 + 306771^2 .

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 = 1000102120983 and 1000102121001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964416 + ... + 2420564.

Almost surely, 2^{1000102121010} is an apocalyptic number.

1000102121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000102121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377574824600).

1000102121010 is an abundant number, since it is smaller than the sum of its proper divisors (1755047528190).

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

1000102121010 is a wasteful number, since it uses less digits than its factorization.

1000102121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457612 (or 457609 counting only the distinct ones).

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

Adding to 1000102121010 its reverse (101212010001), we get a palindrome (1101314131011).

The spelling of 1000102121010 in words is "one trillion, one hundred two million, one hundred twenty-one thousand, ten".