100211201010 has 96 divisors (see below), whose sum is σ = 275962557312. Its totient is φ = 25143114240.

The previous prime is 100211200979. The next prime is 100211201023. The reversal of 100211201010 is 10102112001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100211200983 and 100211201001.

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, 5975457 + ... + 5992203.

It is an arithmetic number, because the mean of its divisors is an integer number (2874609972).

Almost surely, 2^100211201010 is an apocalyptic number.

100211201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137981278656).

100211201010 is an abundant number, since it is smaller than the sum of its proper divisors (175751356302).

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

100211201010 is a wasteful number, since it uses less digits than its factorization.

100211201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20688 (or 20685 counting only the distinct ones).

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

Adding to 100211201010 its reverse (10102112001), we get a palindrome (110313313011).

The spelling of 100211201010 in words is "one hundred billion, two hundred eleven million, two hundred one thousand, ten".