10101002120001 has 48 divisors (see below), whose sum is σ = 15738918795600. Its totient is φ = 6205623238656.

The previous prime is 10101002119987. The next prime is 10101002120039. The reversal of 10101002120001 is 10002120010101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29868134976 + 10071133985025 = 172824^2 + 3173505^2 .

It is not a de Polignac number, because 10101002120001 - 2¹¹ = 10101002117953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101002120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261712161 + ... + 261750753.

It is an arithmetic number, because the mean of its divisors is an integer number (327894141575).

Almost surely, 2^{10101002120001} is an apocalyptic number.

It is an amenable number.

10101002120001 is a deficient number, since it is larger than the sum of its proper divisors (5637916675599).

10101002120001 is a wasteful number, since it uses less digits than its factorization.

10101002120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42290 (or 42287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101002120001 its reverse (10002120010101), we get a palindrome (20103122130102).

The spelling of 10101002120001 in words is "ten trillion, one hundred one billion, two million, one hundred twenty thousand, one".