101901000 has 64 divisors (see below), whose sum is σ = 317940480. Its totient is φ = 27172800.

The previous prime is 101900993. The next prime is 101901001. The reversal of 101901000 is 109101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101901001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13984 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (4967820).

Almost surely, 2^101901000 is an apocalyptic number.

101901000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101901000 is an abundant number, since it is smaller than the sum of its proper divisors (216039480).

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

101901000 is a wasteful number, since it uses less digits than its factorization.

101901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33991 (or 33977 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101901000 is about 10094.6025181777. The cubic root of 101901000 is about 467.0816603268.

The spelling of 101901000 in words is "one hundred one million, nine hundred one thousand".