101111012010 has 24 divisors (see below), whose sum is σ = 262888631460. Its totient is φ = 26962936512.

The previous prime is 101111011993. The next prime is 101111012059. The reversal of 101111012010 is 10210111101.

It can be written as a sum of positive squares in 2 ways, for example, as 90705175929 + 10405836081 = 301173^2 + 102009^2 .

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 = 101111011983 and 101111012001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561727755 + ... + 561727934.

Almost surely, 2^101111012010 is an apocalyptic number.

101111012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111012010 is an abundant number, since it is smaller than the sum of its proper divisors (161777619450).

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

101111012010 is a wasteful number, since it uses less digits than its factorization.

101111012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123455702 (or 1123455699 counting only the distinct ones).

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

Adding to 101111012010 its reverse (10210111101), we get a palindrome (111321123111).

Subtracting from 101111012010 its reverse (10210111101), we obtain a palindrome (90900900909).

It can be divided in two parts, 10111 and 1012010, that added together give a square (1022121 = 1011²).

The spelling of 101111012010 in words is "one hundred one billion, one hundred eleven million, twelve thousand, ten".