101012121111 has 32 divisors (see below), whose sum is σ = 152000706816. Its totient is φ = 59134880000.

The previous prime is 101012121107. The next prime is 101012121121. The reversal of 101012121111 is 111121210101.

It is a cyclic number.

It is not a de Polignac number, because 101012121111 - 2² = 101012121107 is a prime.

It is a super-2 number, since 2×101012121111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012121121) 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, 232941 + ... + 506246.

It is an arithmetic number, because the mean of its divisors is an integer number (4750022088).

Almost surely, 2^101012121111 is an apocalyptic number.

101012121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012121111 is a deficient number, since it is larger than the sum of its proper divisors (50988585705).

101012121111 is a wasteful number, since it uses less digits than its factorization.

101012121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739343.

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

Adding to 101012121111 its reverse (111121210101), we get a palindrome (212133331212).

It can be divided in two parts, 1010 and 12121111, that added together give a palindrome (12122121).

The spelling of 101012121111 in words is "one hundred one billion, twelve million, one hundred twenty-one thousand, one hundred eleven".