201001010100100 has 36 divisors (see below), whose sum is σ = 498482505049984. Its totient is φ = 68914632034080.

The previous prime is 201001010100097. The next prime is 201001010100103. The reversal of 201001010100100 is 1001010100102.

It is an interprime number because it is at equal distance from previous prime (201001010100097) and next prime (201001010100103).

It is a super-3 number, since 3×201001010100100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (201001010100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143572149372 + ... + 143572150771.

Almost surely, 2^{201001010100100} is an apocalyptic number.

201001010100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001010100100 is an abundant number, since it is smaller than the sum of its proper divisors (297481494949884).

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

201001010100100 is a wasteful number, since it uses less digits than its factorization.

201001010100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287144300164 (or 287144300157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 201001010100100 its reverse (1001010100102), we get a palindrome (202002020200202).

The spelling of 201001010100100 in words is "two hundred one trillion, one billion, ten million, one hundred thousand, one hundred".