201154100 has 72 divisors (see below), whose sum is σ = 506425920. Its totient is φ = 67921920.

The previous prime is 201154097. The next prime is 201154103. The reversal of 201154100 is 1451102.

It is an interprime number because it is at equal distance from previous prime (201154097) and next prime (201154103).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201154103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44756 + ... + 49044.

Almost surely, 2^201154100 is an apocalyptic number.

201154100 is a gapful number since it is divisible by the number (20) 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 201154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253212960).

201154100 is an abundant number, since it is smaller than the sum of its proper divisors (305271820).

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

201154100 is a wasteful number, since it uses less digits than its factorization.

201154100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 201154100 is about 14182.8805254786. The cubic root of 201154100 is about 585.9262604896.

The spelling of 201154100 in words is "two hundred one million, one hundred fifty-four thousand, one hundred".