101111011020010 has 32 divisors (see below), whose sum is σ = 183845145297744. Its totient is φ = 40034520960000.

The previous prime is 101111011019983. The next prime is 101111011020011. The reversal of 101111011020010 is 10020110111101.

It can be written as a sum of positive squares in 8 ways, for example, as 83073144115809 + 18037866904201 = 9114447^2 + 4247101^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101111011020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7519221 + ... + 16086040.

Almost surely, 2^{101111011020010} is an apocalyptic number.

101111011020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111011020010 is a deficient number, since it is larger than the sum of its proper divisors (82734134277734).

101111011020010 is a wasteful number, since it uses less digits than its factorization.

101111011020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23609610.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111011020010 its reverse (10020110111101), we get a palindrome (111131121131111).

The spelling of 101111011020010 in words is "one hundred one trillion, one hundred eleven billion, eleven million, twenty thousand, ten".