101002021011 has 24 divisors (see below), whose sum is σ = 151317653760. Its totient is φ = 67324691592.

The previous prime is 101002020971. The next prime is 101002021013. The reversal of 101002021011 is 110120200101.

It is a happy number.

It is not a de Polignac number, because 101002021011 - 2¹⁸ = 101001758867 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101002020984 and 101002021002.

It is not an unprimeable number, because it can be changed into a prime (101002021013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844850 + ... + 1898808.

It is an arithmetic number, because the mean of its divisors is an integer number (6304902240).

Almost surely, 2^101002021011 is an apocalyptic number.

101002021011 is a deficient number, since it is larger than the sum of its proper divisors (50315632749).

101002021011 is an frugal number, since it uses more digits than its factorization.

101002021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61677 (or 61665 counting only the distinct ones).

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

Adding to 101002021011 its reverse (110120200101), we get a palindrome (211122221112).

The spelling of 101002021011 in words is "one hundred one billion, two million, twenty-one thousand, eleven".