100101156 has 48 divisors (see below), whose sum is σ = 242659200. Its totient is φ = 32078592.

The previous prime is 100101121. The next prime is 100101173. The reversal of 100101156 is 651101001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108465 + ... + 109383.

It is an arithmetic number, because the mean of its divisors is an integer number (5055400).

Almost surely, 2^100101156 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 100101156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121329600).

100101156 is an abundant number, since it is smaller than the sum of its proper divisors (142558044).

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

100101156 is a wasteful number, since it uses less digits than its factorization.

100101156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 100101156 is about 10005.0565215795. The cubic root of 100101156 is about 464.3153388051.

Adding to 100101156 its reverse (651101001), we get a palindrome (751202157).

The spelling of 100101156 in words is "one hundred million, one hundred one thousand, one hundred fifty-six".