1001121210090 has 48 divisors (see below), whose sum is σ = 2666400891336. Its totient is φ = 260454297600.

The previous prime is 1001121210079. The next prime is 1001121210107. The reversal of 1001121210090 is 900121211001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 758357080569 + 242764129521 = 870837^2 + 492711^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135649591 + ... + 135656970.

Almost surely, 2^{1001121210090} is an apocalyptic number.

1001121210090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001121210090 is an abundant number, since it is smaller than the sum of its proper divisors (1665279681246).

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

1001121210090 is a wasteful number, since it uses less digits than its factorization.

1001121210090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271306615 (or 271306612 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1001121210090 its reverse (900121211001), we get a palindrome (1901242421091).

The spelling of 1001121210090 in words is "one trillion, one billion, one hundred twenty-one million, two hundred ten thousand, ninety".