10211010100002 has 96 divisors (see below), whose sum is σ = 23169144870144. Its totient is φ = 3246993993600.

The previous prime is 10211010099991. The next prime is 10211010100069. The reversal of 10211010100002 is 20000101011201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7962243 + ... + 9155289.

It is an arithmetic number, because the mean of its divisors is an integer number (241345259064).

Almost surely, 2^{10211010100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211010100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584572435072).

10211010100002 is an abundant number, since it is smaller than the sum of its proper divisors (12958134770142).

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

10211010100002 is a wasteful number, since it uses less digits than its factorization.

10211010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193344 (or 1193341 counting only the distinct ones).

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

Adding to 10211010100002 its reverse (20000101011201), we get a palindrome (30211111111203).

The spelling of 10211010100002 in words is "ten trillion, two hundred eleven billion, ten million, one hundred thousand, two".