101012010 has 48 divisors (see below), whose sum is σ = 266480928. Its totient is φ = 24486880.

The previous prime is 101011991. The next prime is 101012029. The reversal of 101012010 is 10210101.

It is an interprime number because it is at equal distance from previous prime (101011991) and next prime (101012029).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012010.

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, 10284 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (5551686).

Almost surely, 2^101012010 is an apocalyptic number.

101012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012010 is an abundant number, since it is smaller than the sum of its proper divisors (165468918).

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

101012010 is a wasteful number, since it uses less digits than its factorization.

101012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27859 (or 27848 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101012010 is about 10050.4731231918. The cubic root of 101012010 is about 465.7194090205.

Adding to 101012010 its reverse (10210101), we get a palindrome (111222111).

The spelling of 101012010 in words is "one hundred one million, twelve thousand, ten".