101211021000111 has 32 divisors (see below), whose sum is σ = 153451481741568. Its totient is φ = 58791395773440.

The previous prime is 101211021000101. The next prime is 101211021000119. The reversal of 101211021000111 is 111000120112101.

It is not a de Polignac number, because 101211021000111 - 2⁷ = 101211020999983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211021000119) 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, 618514530 + ... + 618678143.

It is an arithmetic number, because the mean of its divisors is an integer number (4795358804424).

Almost surely, 2^{101211021000111} is an apocalyptic number.

101211021000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211021000111 is a deficient number, since it is larger than the sum of its proper divisors (52240460741457).

101211021000111 is a wasteful number, since it uses less digits than its factorization.

101211021000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237192791.

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

Adding to 101211021000111 its reverse (111000120112101), we get a palindrome (212211141112212).

The spelling of 101211021000111 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, one hundred eleven", and thus it is an aban number.