101111101000010 has 32 divisors (see below), whose sum is σ = 192707313198480. Its totient is φ = 38065069228032.

The previous prime is 101111100999977. The next prime is 101111101000033. The reversal of 101111101000010 is 10000101111101.

It can be written as a sum of positive squares in 8 ways, for example, as 12559858032121 + 88551242967889 = 3543989^2 + 9410167^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21135842 + ... + 25474418.

Almost surely, 2^{101111101000010} is an apocalyptic number.

101111101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111101000010 is a deficient number, since it is larger than the sum of its proper divisors (91596212198470).

101111101000010 is a wasteful number, since it uses less digits than its factorization.

101111101000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475690.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101111101000010 its reverse (10000101111101), we get a palindrome (111111202111111).

The spelling of 101111101000010 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, ten", and thus it is an aban number.