101001120010 has 128 divisors (see below), whose sum is σ = 214824960000. Its totient is φ = 33477020928.

The previous prime is 101001119987. The next prime is 101001120029. The reversal of 101001120010 is 10021100101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101001119975 and 101001120002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113867787 + ... + 113868673.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320000).

Almost surely, 2^101001120010 is an apocalyptic number.

101001120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001120010 is an abundant number, since it is smaller than the sum of its proper divisors (113823839990).

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

101001120010 is a wasteful number, since it uses less digits than its factorization.

101001120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101001120010 its reverse (10021100101), we get a palindrome (111022220111).

The spelling of 101001120010 in words is "one hundred one billion, one million, one hundred twenty thousand, ten".