101001100201000 has 512 divisors, whose sum is σ = 254754769651200. Its totient is φ = 37469651328000.

The previous prime is 101001100200961. The next prime is 101001100201007. The reversal of 101001100201000 is 102001100101.

It is not an unprimeable number, because it can be changed into a prime (101001100201007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118406916574 + ... + 118406917426.

It is an arithmetic number, because the mean of its divisors is an integer number (497567909475).

Almost surely, 2^{101001100201000} is an apocalyptic number.

101001100201000 is a gapful number since it is divisible by the number (10) 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 101001100201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127377384825600).

101001100201000 is an abundant number, since it is smaller than the sum of its proper divisors (153753669450200).

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

101001100201000 is an equidigital number, since it uses as much as digits as its factorization.

101001100201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1223 counting only the distinct ones).

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

Adding to 101001100201000 its reverse (102001100101), we get a palindrome (101103101301101).

The spelling of 101001100201000 in words is "one hundred one trillion, one billion, one hundred million, two hundred one thousand".