101121121001012 has 12 divisors (see below), whose sum is σ = 202242242002080. Its totient is φ = 43337623286136.

The previous prime is 101121121000993. The next prime is 101121121001053. The reversal of 101121121001012 is 210100121121101.

101121121001012 is an admirable number.

It is a super-2 number, since 2×101121121001012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1805734303562 + ... + 1805734303617.

It is an arithmetic number, because the mean of its divisors is an integer number (16853520166840).

Almost surely, 2^{101121121001012} is an apocalyptic number.

It is an amenable number.

101121121001012 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101121121001012 is a wasteful number, since it uses less digits than its factorization.

101121121001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611468607190 (or 3611468607188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101121121001012 its reverse (210100121121101), we get a palindrome (311221242122113).

The spelling of 101121121001012 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, twelve".