201301110253100 has 216 divisors, whose sum is σ = 517472825525712. Its totient is φ = 67378166169600.

The previous prime is 201301110253043. The next prime is 201301110253163. The reversal of 201301110253100 is 1352011103102.

201301110253100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201301110253100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64088924 + ... + 67156476.

It is an arithmetic number, because the mean of its divisors is an integer number (2395707525582).

Almost surely, 2^{201301110253100} is an apocalyptic number.

201301110253100 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 201301110253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258736412762856).

201301110253100 is an abundant number, since it is smaller than the sum of its proper divisors (316171715272612).

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

201301110253100 is a wasteful number, since it uses less digits than its factorization.

201301110253100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067957 (or 3067937 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 201301110253100 its reverse (1352011103102), we get a palindrome (202653121356202).

The spelling of 201301110253100 in words is "two hundred one trillion, three hundred one billion, one hundred ten million, two hundred fifty-three thousand, one hundred".