101112121121012 has 6 divisors (see below), whose sum is σ = 176946211961778. Its totient is φ = 50556060560504.

The previous prime is 101112121120963. The next prime is 101112121121027. The reversal of 101112121121012 is 210121121211101.

It can be written as a sum of positive squares in only one way, i.e., 85508562503056 + 15603558617956 = 9247084^2 + 3950134^2 .

It is a super-2 number, since 2×101112121121012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12639015140123 + ... + 12639015140130.

It is an arithmetic number, because the mean of its divisors is an integer number (29491035326963).

Almost surely, 2^{101112121121012} is an apocalyptic number.

It is an amenable number.

101112121121012 is a deficient number, since it is larger than the sum of its proper divisors (75834090840766).

101112121121012 is a wasteful number, since it uses less digits than its factorization.

101112121121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25278030280257 (or 25278030280255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101112121121012 its reverse (210121121211101), we get a palindrome (311233242332113).

The spelling of 101112121121012 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, twelve".