10211022012100 has 288 divisors, whose sum is σ = 27397173579776. Its totient is φ = 3216735244800.

The previous prime is 10211022012049. The next prime is 10211022012131. The reversal of 10211022012100 is 121022011201.

10211022012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 2189794369 + ... + 2189799031.

Almost surely, 2^{10211022012100} is an apocalyptic number.

10211022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211022012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698586789888).

10211022012100 is an abundant number, since it is smaller than the sum of its proper divisors (17186151567676).

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

10211022012100 is a wasteful number, since it uses less digits than its factorization.

10211022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211022012100 its reverse (121022011201), we get a palindrome (10332044023301).

The spelling of 10211022012100 in words is "ten trillion, two hundred eleven billion, twenty-two million, twelve thousand, one hundred".