100133002000290 has 32 divisors (see below), whose sum is σ = 274650519772800. Its totient is φ = 22887543314304.

The previous prime is 100133002000271. The next prime is 100133002000309. The reversal of 100133002000290 is 92000200331001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100133002000271) and next prime (100133002000309).

It is a super-2 number, since 2×100133002000290² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238411909315 + ... + 238411909734.

It is an arithmetic number, because the mean of its divisors is an integer number (8582828742900).

Almost surely, 2^{100133002000290} is an apocalyptic number.

100133002000290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100133002000290 is an abundant number, since it is smaller than the sum of its proper divisors (174517517772510).

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

100133002000290 is a wasteful number, since it uses less digits than its factorization.

100133002000290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476823819066.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100133002000290 its reverse (92000200331001), we get a palindrome (192133202331291).

The spelling of 100133002000290 in words is "one hundred trillion, one hundred thirty-three billion, two million, two hundred ninety", and thus it is an aban number.