1000102011090 has 128 divisors (see below), whose sum is σ = 2964662733312. Its totient is φ = 210259445760.

The previous prime is 1000102011043. The next prime is 1000102011091. The reversal of 1000102011090 is 901102010001.

1000102011090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1000102011091) 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, 115284 + ... + 1418976.

It is an arithmetic number, because the mean of its divisors is an integer number (23161427604).

Almost surely, 2^{1000102011090} is an apocalyptic number.

1000102011090 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 1000102011090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482331366656).

1000102011090 is an abundant number, since it is smaller than the sum of its proper divisors (1964560722222).

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

1000102011090 is a wasteful number, since it uses less digits than its factorization.

1000102011090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304004.

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

Adding to 1000102011090 its reverse (901102010001), we get a palindrome (1901204021091).

The spelling of 1000102011090 in words is "one trillion, one hundred two million, eleven thousand, ninety".