1000102211010 has 128 divisors (see below), whose sum is σ = 3064959129600. Its totient is φ = 227317648320.

The previous prime is 1000102210981. The next prime is 1000102211039. The reversal of 1000102211010 is 101122010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000102210981) and next prime (1000102211039).

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 = 1000102210983 and 1000102211001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139776 + ... + 1816395.

It is an arithmetic number, because the mean of its divisors is an integer number (23944993200).

Almost surely, 2^{1000102211010} is an apocalyptic number.

1000102211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000102211010 is an abundant number, since it is smaller than the sum of its proper divisors (2064856918590).

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

1000102211010 is a wasteful number, since it uses less digits than its factorization.

1000102211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956373 (or 2956367 counting only the distinct ones).

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

Adding to 1000102211010 its reverse (101122010001), we get a palindrome (1101224221011).

The spelling of 1000102211010 in words is "one trillion, one hundred two million, two hundred eleven thousand, ten".