101002001012 has 48 divisors (see below), whose sum is σ = 194815139904. Its totient is φ = 45435840000.

The previous prime is 101002000973. The next prime is 101002001041. The reversal of 101002001012 is 210100200101.

It is a super-3 number, since 3×101002001012³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16710863 + ... + 16716905.

It is an arithmetic number, because the mean of its divisors is an integer number (4058648748).

Almost surely, 2^101002001012 is an apocalyptic number.

It is an amenable number.

101002001012 is a deficient number, since it is larger than the sum of its proper divisors (93813138892).

101002001012 is a wasteful number, since it uses less digits than its factorization.

101002001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101002001012 its reverse (210100200101), we get a palindrome (311102201113).

It can be divided in two parts, 10100200101 and 2, that multiplied together give a palindrome (20200400202).

The spelling of 101002001012 in words is "one hundred one billion, two million, one thousand, twelve".