102200102010 has 48 divisors (see below), whose sum is σ = 265949015904. Its totient is φ = 27229898976.

The previous prime is 102200102009. The next prime is 102200102023. The reversal of 102200102010 is 10201002201.

It is a super-3 number, since 3×102200102010³ (a number of 34 digits) contains 333 as substring.

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 = 102200101983 and 102200102001.

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, 383532 + ... + 592871.

It is an arithmetic number, because the mean of its divisors is an integer number (5540604498).

Almost surely, 2^102200102010 is an apocalyptic number.

102200102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200102010 is an abundant number, since it is smaller than the sum of its proper divisors (163748913894).

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

102200102010 is a wasteful number, since it uses less digits than its factorization.

102200102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977579 (or 977576 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200102010 its reverse (10201002201), we get a palindrome (112401104211).

The spelling of 102200102010 in words is "one hundred two billion, two hundred million, one hundred two thousand, ten".