101001022002111 has 128 divisors (see below), whose sum is σ = 179797589360640. Its totient is φ = 48846604953600.

The previous prime is 101001022002053. The next prime is 101001022002119. The reversal of 101001022002111 is 111200220100101.

It is a de Polignac number, because none of the positive numbers 2^k-101001022002111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001022002119) 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, 290847895 + ... + 291194951.

It is an arithmetic number, because the mean of its divisors is an integer number (1404668666880).

Almost surely, 2^{101001022002111} is an apocalyptic number.

101001022002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001022002111 is a deficient number, since it is larger than the sum of its proper divisors (78796567358529).

101001022002111 is a wasteful number, since it uses less digits than its factorization.

101001022002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348245.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001022002111 its reverse (111200220100101), we get a palindrome (212201242102212).

The spelling of 101001022002111 in words is "one hundred one trillion, one billion, twenty-two million, two thousand, one hundred eleven".