1020211101 has 96 divisors (see below), whose sum is σ = 1884250368. Its totient is φ = 517570560.

The previous prime is 1020211063. The next prime is 1020211117. The reversal of 1020211101 is 1011120201.

It is a happy number.

It is not a de Polignac number, because 1020211101 - 2⁷ = 1020210973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3969565 + ... + 3969821.

It is an arithmetic number, because the mean of its divisors is an integer number (19627608).

Almost surely, 2^1020211101 is an apocalyptic number.

It is an amenable number.

1020211101 is a deficient number, since it is larger than the sum of its proper divisors (864039267).

1020211101 is a wasteful number, since it uses less digits than its factorization.

1020211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

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

The square root of 1020211101 is about 31940.7435887144. The cubic root of 1020211101 is about 1006.6921489074.

Adding to 1020211101 its reverse (1011120201), we get a palindrome (2031331302).

The spelling of 1020211101 in words is "one billion, twenty million, two hundred eleven thousand, one hundred one".