10211130213102 has 192 divisors, whose sum is σ = 27973833922944. Its totient is φ = 2619490544640.

The previous prime is 10211130213091. The next prime is 10211130213121. The reversal of 10211130213102 is 20131203111201.

10211130213102 is a `hidden beast` number, since 10 + 211 + 130 + 2 + 1 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222825352 + ... + 222871172.

It is an arithmetic number, because the mean of its divisors is an integer number (145697051682).

Almost surely, 2^{10211130213102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211130213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986916961472).

10211130213102 is an abundant number, since it is smaller than the sum of its proper divisors (17762703709842).

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

10211130213102 is a wasteful number, since it uses less digits than its factorization.

10211130213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49563 (or 49560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10211130213102 its reverse (20131203111201), we get a palindrome (30342333324303).

The spelling of 10211130213102 in words is "ten trillion, two hundred eleven billion, one hundred thirty million, two hundred thirteen thousand, one hundred two".