100101667021272 has 192 divisors, whose sum is σ = 320960638540800. Its totient is φ = 28317298896000.

The previous prime is 100101667021241. The next prime is 100101667021309. The reversal of 100101667021272 is 272120766101001.

100101667021272 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100101667021272² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12178897 + ... + 18668927.

It is an arithmetic number, because the mean of its divisors is an integer number (1671669992400).

Almost surely, 2^{100101667021272} is an apocalyptic number.

100101667021272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101667021272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160480319270400).

100101667021272 is an abundant number, since it is smaller than the sum of its proper divisors (220858971519528).

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

100101667021272 is a wasteful number, since it uses less digits than its factorization.

100101667021272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490255 (or 6490144 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 100101667021272 in words is "one hundred trillion, one hundred one billion, six hundred sixty-seven million, twenty-one thousand, two hundred seventy-two".