10111102011010 has 128 divisors (see below), whose sum is σ = 25873773940224. Its totient is φ = 2737965404160.

The previous prime is 10111102010983. The next prime is 10111102011037. The reversal of 10111102011010 is 1011020111101.

It is an interprime number because it is at equal distance from previous prime (10111102010983) and next prime (10111102011037).

It is a super-2 number, since 2×10111102011010² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29538657 + ... + 29878996.

It is an arithmetic number, because the mean of its divisors is an integer number (202138858908).

Almost surely, 2^{10111102011010} is an apocalyptic number.

10111102011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111102011010 is an abundant number, since it is smaller than the sum of its proper divisors (15762671929214).

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

10111102011010 is a wasteful number, since it uses less digits than its factorization.

10111102011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59417708.

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

Adding to 10111102011010 its reverse (1011020111101), we get a palindrome (11122122122111).

The spelling of 10111102011010 in words is "ten trillion, one hundred eleven billion, one hundred two million, eleven thousand, ten".