1012100120010 has 288 divisors, whose sum is σ = 3183437013120. Its totient is φ = 230683033728.

The previous prime is 1012100119997. The next prime is 1012100120023. The reversal of 1012100120010 is 100210012101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012100119997) and next prime (1012100120023).

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 = 1012100119974 and 1012100120001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42734292 + ... + 42757968.

It is an arithmetic number, because the mean of its divisors is an integer number (11053600740).

Almost surely, 2^{1012100120010} is an apocalyptic number.

1012100120010 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 1012100120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591718506560).

1012100120010 is an abundant number, since it is smaller than the sum of its proper divisors (2171336893110).

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

1012100120010 is a wasteful number, since it uses less digits than its factorization.

1012100120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24072 (or 24053 counting only the distinct ones).

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

Adding to 1012100120010 its reverse (100210012101), we get a palindrome (1112310132111).

The spelling of 1012100120010 in words is "one trillion, twelve billion, one hundred million, one hundred twenty thousand, ten".