10012000101090 has 128 divisors (see below), whose sum is σ = 26014251174912. Its totient is φ = 2451467600640.

The previous prime is 10012000101031. The next prime is 10012000101091. The reversal of 10012000101090 is 9010100021001.

It is a super-3 number, since 3×10012000101090³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10012000101091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62941837 + ... + 63100703.

It is an arithmetic number, because the mean of its divisors is an integer number (203236337304).

Almost surely, 2^{10012000101090} is an apocalyptic number.

10012000101090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012000101090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007125587456).

10012000101090 is an abundant number, since it is smaller than the sum of its proper divisors (16002251073822).

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

10012000101090 is a wasteful number, since it uses less digits than its factorization.

10012000101090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159744.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10012000101090 its reverse (9010100021001), we get a palindrome (19022100122091).

The spelling of 10012000101090 in words is "ten trillion, twelve billion, one hundred one thousand, ninety".