101111000201010 has 48 divisors (see below), whose sum is σ = 262922181177240. Its totient is φ = 26959489217280.

The previous prime is 101111000200979. The next prime is 101111000201027. The reversal of 101111000201010 is 10102000111101.

It can be written as a sum of positive squares in 4 ways, for example, as 30689683189929 + 70421317011081 = 5539827^2 + 8391741^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111000200983 and 101111000201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71045011 + ... + 72454230.

Almost surely, 2^{101111000201010} is an apocalyptic number.

101111000201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111000201010 is an abundant number, since it is smaller than the sum of its proper divisors (161811180976230).

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

101111000201010 is a wasteful number, since it uses less digits than its factorization.

101111000201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143507083 (or 143507080 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111000201010 its reverse (10102000111101), we get a palindrome (111213000312111).

The spelling of 101111000201010 in words is "one hundred one trillion, one hundred eleven billion, two hundred one thousand, ten".