102033140112001 has 64 divisors (see below), whose sum is σ = 125869932232704. Its totient is φ = 80731452211200.

The previous prime is 102033140111963. The next prime is 102033140112019. The reversal of 102033140112001 is 100211041330201.

It is not a de Polignac number, because 102033140112001 - 2¹³ = 102033140103809 is a prime.

It is a super-2 number, since 2×102033140112001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102033140112001.

It is not an unprimeable number, because it can be changed into a prime (102033140112401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498883681 + ... + 499088161.

It is an arithmetic number, because the mean of its divisors is an integer number (1966717691136).

Almost surely, 2^{102033140112001} is an apocalyptic number.

It is an amenable number.

102033140112001 is a deficient number, since it is larger than the sum of its proper divisors (23836792120703).

102033140112001 is a wasteful number, since it uses less digits than its factorization.

102033140112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205010.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102033140112001 its reverse (100211041330201), we get a palindrome (202244181442202).

The spelling of 102033140112001 in words is "one hundred two trillion, thirty-three billion, one hundred forty million, one hundred twelve thousand, one".