101001021012111 has 32 divisors (see below), whose sum is σ = 153299934461952. Its totient is φ = 58550574756960.

The previous prime is 101001021012109. The next prime is 101001021012113. The reversal of 101001021012111 is 111210120100101.

It is an interprime number because it is at equal distance from previous prime (101001021012109) and next prime (101001021012113).

It is not a de Polignac number, because 101001021012111 - 2¹ = 101001021012109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001021012113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62213046 + ... + 63815868.

It is an arithmetic number, because the mean of its divisors is an integer number (4790622951936).

Almost surely, 2^{101001021012111} is an apocalyptic number.

101001021012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001021012111 is a deficient number, since it is larger than the sum of its proper divisors (52298913449841).

101001021012111 is a wasteful number, since it uses less digits than its factorization.

101001021012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685883.

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

Adding to 101001021012111 its reverse (111210120100101), we get a palindrome (212211141112212).

The spelling of 101001021012111 in words is "one hundred one trillion, one billion, twenty-one million, twelve thousand, one hundred eleven".