101100021210111 has 128 divisors (see below), whose sum is σ = 179751077517312. Its totient is φ = 48929587200000.

The previous prime is 101100021210079. The next prime is 101100021210259. The reversal of 101100021210111 is 111012120001101.

It is not a de Polignac number, because 101100021210111 - 2⁵ = 101100021210079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100021110111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1904179681 + ... + 1904232773.

It is an arithmetic number, because the mean of its divisors is an integer number (1404305293104).

Almost surely, 2^{101100021210111} is an apocalyptic number.

101100021210111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100021210111 is a deficient number, since it is larger than the sum of its proper divisors (78651056307201).

101100021210111 is a wasteful number, since it uses less digits than its factorization.

101100021210111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58033.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101100021210111 its reverse (111012120001101), we get a palindrome (212112141211212).

It can be divided in two parts, 1011000 and 21210111, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 101100021210111 in words is "one hundred one trillion, one hundred billion, twenty-one million, two hundred ten thousand, one hundred eleven".