100333472062461 has 64 divisors (see below), whose sum is σ = 157423873351680. Its totient is φ = 56194083728640.

The previous prime is 100333472062429. The next prime is 100333472062471. The reversal of 100333472062461 is 164260274333001.

It is a happy number.

It is not a de Polignac number, because 100333472062461 - 2⁵ = 100333472062429 is a prime.

It is a super-2 number, since 2×100333472062461² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333472062471) 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, 2977261 + ... + 14475186.

It is an arithmetic number, because the mean of its divisors is an integer number (2459748021120).

Almost surely, 2^{100333472062461} is an apocalyptic number.

100333472062461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100333472062461 is a deficient number, since it is larger than the sum of its proper divisors (57090401289219).

100333472062461 is a wasteful number, since it uses less digits than its factorization.

100333472062461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452706.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 100333472062461 in words is "one hundred trillion, three hundred thirty-three billion, four hundred seventy-two million, sixty-two thousand, four hundred sixty-one".