10111001102010 has 48 divisors (see below), whose sum is σ = 26371532286216. Its totient is φ = 2687761378944.

The previous prime is 10111001102009. The next prime is 10111001102017. The reversal of 10111001102010 is 1020110011101.

It can be written as a sum of positive squares in 4 ways, for example, as 3416978129049 + 6694022972961 = 1848507^2 + 2587281^2 .

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 = 10111001101983 and 10111001102001.

It is not an unprimeable number, because it can be changed into a prime (10111001102017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177170929 + ... + 177227988.

Almost surely, 2^{10111001102010} is an apocalyptic number.

10111001102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111001102010 is an abundant number, since it is smaller than the sum of its proper divisors (16260531184206).

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

10111001102010 is a wasteful number, since it uses less digits than its factorization.

10111001102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354399247 (or 354399244 counting only the distinct ones).

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

Adding to 10111001102010 its reverse (1020110011101), we get a palindrome (11131111113111).

The spelling of 10111001102010 in words is "ten trillion, one hundred eleven billion, one million, one hundred two thousand, ten".