102011120010 has 128 divisors (see below), whose sum is σ = 277751255040. Its totient is φ = 26635701312.

The previous prime is 102011120009. The next prime is 102011120011. The reversal of 102011120010 is 10021110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102011120009) and next prime (102011120011).

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 = 102011119974 and 102011120001.

It is not an unprimeable number, because it can be changed into a prime (102011120011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3004147 + ... + 3037913.

It is an arithmetic number, because the mean of its divisors is an integer number (2169931680).

Almost surely, 2^102011120010 is an apocalyptic number.

102011120010 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 102011120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138875627520).

102011120010 is an abundant number, since it is smaller than the sum of its proper divisors (175740135030).

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

102011120010 is a wasteful number, since it uses less digits than its factorization.

102011120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34017 (or 34011 counting only the distinct ones).

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

Adding to 102011120010 its reverse (10021110201), we get a palindrome (112032230211).

The spelling of 102011120010 in words is "one hundred two billion, eleven million, one hundred twenty thousand, ten".