100210000019976 has 576 divisors, whose sum is σ = 365089458202560. Its totient is φ = 24469530624000.

The previous prime is 100210000019861. The next prime is 100210000020023. The reversal of 100210000019976 is 679910000012001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100210000019976.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 581141211 + ... + 581313621.

It is an arithmetic number, because the mean of its divisors is an integer number (633835864935).

Almost surely, 2^{100210000019976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210000019976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182544729101280).

100210000019976 is an abundant number, since it is smaller than the sum of its proper divisors (264879458182584).

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

100210000019976 is a wasteful number, since it uses less digits than its factorization.

100210000019976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173346 (or 173332 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 100210000019976 in words is "one hundred trillion, two hundred ten billion, nineteen thousand, nine hundred seventy-six".