101202120000010 has 8 divisors (see below), whose sum is σ = 182163816000036. Its totient is φ = 40480848000000.

The previous prime is 101202119999987. The next prime is 101202120000031. The reversal of 101202120000010 is 10000021202101.

It can be written as a sum of positive squares in 2 ways, for example, as 98907261615369 + 2294858384641 = 9945213^2 + 1514879^2 .

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: 10120212000001 = 101202120000010 / (1 + 0 + 1 + 2 + 0 + 2 + 1 + 2 + 0 + 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, 5060105999991 + ... + 5060106000010.

Almost surely, 2^{101202120000010} is an apocalyptic number.

101202120000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101202120000010 is a deficient number, since it is larger than the sum of its proper divisors (80961696000026).

101202120000010 is a wasteful number, since it uses less digits than its factorization.

101202120000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120212000008.

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

Adding to 101202120000010 its reverse (10000021202101), we get a palindrome (111202141202111).

The spelling of 101202120000010 in words is "one hundred one trillion, two hundred two billion, one hundred twenty million, ten", and thus it is an aban number.