1000102101210 has 48 divisors (see below), whose sum is σ = 2600577387720. Its totient is φ = 266661901440.

The previous prime is 1000102101209. The next prime is 1000102101227. The reversal of 1000102101210 is 121012010001.

It is a happy number.

1000102101210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 873890302041 + 126211799169 = 934821^2 + 355263^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000102101192 and 1000102101201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92700 + ... + 1417320.

Almost surely, 2^{1000102101210} is an apocalyptic number.

1000102101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000102101210 is an abundant number, since it is smaller than the sum of its proper divisors (1600475286510).

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

1000102101210 is a wasteful number, since it uses less digits than its factorization.

1000102101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333023 (or 1333020 counting only the distinct ones).

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

Adding to 1000102101210 its reverse (121012010001), we get a palindrome (1121114111211).

The spelling of 1000102101210 in words is "one trillion, one hundred two million, one hundred one thousand, two hundred ten".