101200210010010 has 48 divisors (see below), whose sum is σ = 274560569771904. Its totient is φ = 25813386900576.

The previous prime is 101200210009981. The next prime is 101200210010023. The reversal of 101200210010010 is 10010012002101.

It is a happy number.

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 = 101200210009974 and 101200210010001.

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, 24444493102 + ... + 24444497241.

It is an arithmetic number, because the mean of its divisors is an integer number (5720011870248).

Almost surely, 2^{101200210010010} is an apocalyptic number.

101200210010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200210010010 is an abundant number, since it is smaller than the sum of its proper divisors (173360359761894).

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

101200210010010 is a wasteful number, since it uses less digits than its factorization.

101200210010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48888990379 (or 48888990376 counting only the distinct ones).

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

Adding to 101200210010010 its reverse (10010012002101), we get a palindrome (111210222012111).

The spelling of 101200210010010 in words is "one hundred one trillion, two hundred billion, two hundred ten million, ten thousand, ten".