101201022000010 has 8 divisors (see below), whose sum is σ = 182161839600036. Its totient is φ = 40480408800000.

The previous prime is 101201021999983. The next prime is 101201022000049. The reversal of 101201022000010 is 10000220102101.

It can be written as a sum of positive squares in 2 ways, for example, as 97542941162689 + 3658080837321 = 9876383^2 + 1912611^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10120102200001 = 101201022000010 / (1 + 0 + 1 + 2 + 0 + 1 + 0 + 2 + 2 + 0 + 0 + 0 + 0 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5060051099991 + ... + 5060051100010.

Almost surely, 2^{101201022000010} is an apocalyptic number.

101201022000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201022000010 is a deficient number, since it is larger than the sum of its proper divisors (80960817600026).

101201022000010 is a wasteful number, since it uses less digits than its factorization.

101201022000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120102200008.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101201022000010 its reverse (10000220102101), we get a palindrome (111201242102111).

The spelling of 101201022000010 in words is "one hundred one trillion, two hundred one billion, twenty-two million, ten", and thus it is an aban number.